Volterra integral equations (Q1142388)

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scientific article; zbMATH DE number 3686099

Language	Label	Description	Also known as
English	Volterra integral equations	scientific article; zbMATH DE number 3686099

Statements

scholarly article

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Volterra integral equations (English)

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Journal of Soviet Mathematics

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publication date

1977

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zbMATH Keywords

Bibliography

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survey

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MaRDI profile type

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Peano's theorem in Banach spaces

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Hammerstein integral equations with discontinuous operators

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ON A CERTAIN SYSTEM OF NON-LINEAR INTEGRAL EQUATIONS AND ITS APPLICATION

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Comportamento asintotico di una equazione integrale non lineare

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Continuous Dependence of Solutions of Volterra Integral Equations

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The Numerical Solution of an Abel Integral Equation by a Product Trapezoidal Method

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A functional-integral equation with applications to hyperbolic partial differential equations

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On the asymptotic behavior in the theory of Volterra integro-functional equations

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Nonlinear Volterra Equations in a Hilbert Space

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Comparison Theorems and Integral Inequalities for Volterra Integral Equations

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Die elementaren Differential‐ und Integralungleichungen mit einem allgemeinen Ungleichungsbegriff

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Convolution, fixed point, and approximation in Stieltjes-Volterra integral equations

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Stieltjes-Volterra integral equations

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A representation formula for linear Volterra integral equations

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On strong stability for linear integral equations

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Some stability theorems for systems of volterra integral equations

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On a Nonlinear Integral Equation for Population Growth Problems

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A nonlinear variation of constants formula for volterra equations

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The Solution of Volterra Integral Equations of the First Kind by Piecewise Polynomials

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On the approximate solution of firstkind integral equations of Volterra type

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On the approximate solution of the abel integral equation with discontinuous solution

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On a class of Volterra and Fredholm non-linear integral equations

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A comparison theorem for stability investigations

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A generalization of a lemma of Bihari and applications to pointwise estimates for integral equations

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The numerical solution of nonlinear Volterra integral equations

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A block by block method for the numerical solution of Volterra integral equations

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Volterra's functional integral equations of the statistical theory of damage

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The Problem of Eigenvalues in Some Singular Homogeneous Volterra Integral Equations

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Some point-wise estimates for solutions of a class of nonlinear functional-integral inequalities

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NUMERICAL METHODS FOR INTEGRO-DIFFERENCE EQUATIONS

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Bounded-input bounded-output stability of linear time-varying feedback systems

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A gradient method for systems described by integral equations

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Problèmes globaux dans la théorie des équations intégrales de Volterra

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Some perturbation problems in the theory of integral equations

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Integral equations and stability of feedback systems

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Strong stability of perturbed systems of Volterra integral equations

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Stability of perturbed Volterra integral equations

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On the numerical solution of linear volterra integral equations

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A Starting Method for Solving Nonlinear Volterra Integral Equations

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Numerical solution of the convolution integral equation

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On the set of solutions of a system of Volterra integral equations

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A Carathéodory theory for systems of integral equations

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Eigenschaften der Lösungsmenge eines Systems von Volterra- Integralgleichungen

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Some generalizations of Bellman-Bihari integral inequalities

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Pointwise estimates of solutions of some Volterra integral equations

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On asymptotic stability of nonlinear hereditary phenomena

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A Volterra integral equation in the stability of some linear hereditary phenomena

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An extension of Popov's method for vector-valued nonlinearities

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Admissibility results on subspaces ofC(R, R n ) andLL p (R, R n )

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The fredholm and volterra problems for stieltjies integral equations

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Application of Spline Functions to Volterra Integral Equations

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Numerical solution of Volterra integral equations by spline functions

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On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind

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Spline Function Approximations to the Solution of Singular Volterra Integral Equations of the Second Kind

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On spline function approximations to the solution of volterra integral equations of the first kind

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Efficient algorithms for Volterra integral equations of the second kind

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Some integral equations involving finite parts of divergent integrals

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Periodic behavior of solutions of Volterra integral equations

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Monotonicity of Solutions of Volterra Integral Equations in Banach Space

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Volterra Integral Equations in Banach Space

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Sull' analisi numerica delle equazioni integrali di Volterra

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The numerical solution of volterra intergral equations with singular kernels

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Solving Nonlinear Second Kind Volterra Equations by Modified Increment Methods

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Block methods for nonlinear Volterra integral equations

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Stability of quadrature rule methods for first kind volterra integral equations

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Admissibility and integral operators

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The Nonexistence of Maximum Solutions of Volterra Integral Equations

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Asymptotic Behavior of Solutions to a Population Equation

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A Volterra Equation with Parameter

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Note on a Family of Volterra Equations

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A Volterra Equation in Hilbert Space

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A Linear Volterra Equation in Hilbert Space

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Uniform Boundedness in a Class of Volterra Equations

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A boundedness theorem for Volterra equations

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On Differential Equations, Volterra Equations and the Function J 2 μ + Y 2 μ

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Convergence theorems for solutions of a certain Volterra integral equation

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The Solution of a Nonlinear Gronwall Inequality

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Solution of Integral Equations by Product Integration

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A Stieltjes–Volterra Integral Equation Theory

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Multistep Methods for Solving Linear Volterra Integral Equations of the First Kind

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Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions

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On the solution of Volterra integral equations of the first kind

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On the Solution of a Volterra Integral Equation with a Weakly Singular Kernel

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High Order Methods for Volterra Integral Equations of the First Kind

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High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels

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Implicit Runge-Kutta methods for second kind Volterra integral equations

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A starting method for solving nonlinear Volterra integral equations of the second kind

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On an Asymptotic Property of a Volterra Integral Equation

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Asymptotic Behavior and Nonoscillation of Volterra Integral Equations and Functional Differential Equations

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The Numerical Solution of Singular Volterra Integral Equations

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On the Asymptotic Behavior of Perturbed Volterra Integral Equations

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On a non-linear Volterra integral equation with singular kernel

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On the Asymptotic Behavior of Volterra Integral Equations

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Existence of solutions of heavily nonlinear Volterra integral equations

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Existence of bounded solutions and asymptotic relationships for nonlinear Volterra integral equations

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A Kneser Theorem for Volterra Integral Equations

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The numerical solution of a Volterra integral equation

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Stabilitätsbedingungen von rekurrenten Relationen und deren Anwendung bei der numerischen Lösung von Volterraschen Integralgleichungen

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Über die Lösbarkeit einer Integralgleichung für Versicherungsfunktionen

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On the asymptotic solution of a nonlinear Volterra integral equation

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On the existence and uniqueness of solutions of a certain integral-functional equation

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On fading memory spaces and hereditary integral equations

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A Frequency Criterion for Oscillatory Solutions

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The Qualitative Behavior of a Nonlinear Volterra Equation

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On a nonlinear Volterra equation

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A bound on the solutions of a Volterra equation

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On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III

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On Linear Volterra Integral Equations of Convolution Type

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A Method for Solving Nonlinear Volterra Integral Equations of the Second Kind

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Numerical methods for Volterra integral equations of the first kind

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Numerial Methods for Volterra Integral Equations with Singular Kernels

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Product integration methods for Volterra integral equations of the first kind

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The qualitative behavior of the solutions of a nonlinear Volterra equation

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On the solution of a nonlinear Volterra equation

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On a nonlinear Volterra integral equation

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On the Asymptotic Behavior of the Bounded Solutions of a Nonlinear Volterra Equation

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A Variation-of-Parameters Inequality

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Bounded Solutions of Stieltjes Integral Equations

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Nonlinear Volterra equations on a Hilbert space

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Limits of solutions of Volterra integral equations

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Stability Considerations for a Volterra Integral Equation with Discontinuous Nonlinearity

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$A$-stable methods of high order for Volterra integral equations

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Bounds for Solutions to a Class of Nonlinear Integral Equations

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Integral equation associated with some non-linear evolution equation

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Solution of hypergeometric integral equations involving generalised functions

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A general adjoint relation for functional differential and Volterra integral equations with application to control

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Successive Approximations in Ordered Vector Spaces and Global Solutions of Nonlinear Volterra Integral Equations

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Asymptotic behavior of solutions of nonlinear Volterra equations

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On Volterra integral equations with nonnegative integrable resolvents

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Admissibility and Nonlinear Volterra Integral Equations

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Almost-periodic behavior of solutions of a nonlinear Volterra system.

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Asymptotically Almost Periodic Solutions of a Nonlinear Volterra System

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Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels

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A stability theorem for nonlinear mixed integral equations

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Perturbations of Volterra integral equations

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A note on Volterra integral equations and topological dynamics

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Existence, uniqueness and continuity of solutions of integral equations

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Existence, uniqueness and continuity of solutions of integral equations. An addendum

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Volterra integral equations and topological dynamics

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Approximate solutions for some non-linear Volterra integral equations

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Kneser's property of solution families of non-linear Volterra integral equations

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Spline Approximation to the Solution of the Volterra Integral Equation of the Second Kind

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Asymptotic relationships between systems of Volterra equations

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Asymptotic equivalence of Volterra equations

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On a system of integral inequalities

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A note on Gronwall-Bellman inequality

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On some integral inequalities similar to Bellman-Bihari inequalities

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On some generalizations o f Bellman's lemma

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The approximate solution of Volterra integral equations

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An error estimate for Volterra integral equations

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Numerical solution of the abel integral equation

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Asymptotic properties of solutions of some integral equations and second order differential equations

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Störungsrechnung für lineare V<scp>OLTERRAS</scp>che Integralgleichungen

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Some Integral Equations with Rummer's Functions in the Kernels

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Numerical solution of Volterra integral equations

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Asymptotic behaviour of a class of nonlinear Volterra integral equations

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Eindeutigkeits- und Iterationsfragen bei Volterra-Hammersteinschen Integralgleichungen.

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Über die Fixpunktmengen einer Klasse Volterrascher Integraloperatoren in Banachräumen.

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A Product Integral Solution of a Stieltjes-Volterra Integral Equation

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A Volterra Equation with a Very Singular Kernel

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Some properties of a non-linear integral Volterra equation with deviated argument

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ON APPROXIMATE SOLUTIONS OF NONLINEAR INTEGRAL EQUATIONS BY CHEBYSHEV SERIES

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On the Properties of Nonlinear Integral Equations That Arise in the Theory of Dynamical Systems

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Approximate solutions for Volterra integral equations of the first kind

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On Volterra-Stieltjes integral equations

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Differential operators in the manifold of solutions of a non-linear differential equation

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A Tauberian condition and skew product flows with applications to integral equations

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Variants of the Wiener-Levy Theorem, with Applications to Stability Problems for Some Volterra Integral Equations

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On Certain Integral Equations of Convolution Type with Bessel-Function Kernels

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On a perturbed Volterra integral equation

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On nonexistence of global solutions for some nonlinear integral equations

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On multidimensional integral equations of Volterra type

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Some Theorems on a Volterra Equation of the Second Kind

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A numerical method for the time-dependent Krook kinetic equation

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Asymptotic behavior of some nonlinear Volterra integral equations

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Product Integration for the Generalized Abel Equation

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A product integration method for a class of singular first kind Volterra equations

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A Linear Generalization of Gronwall's Inequality

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The numerical solution of non-singular integral and integro-differential equations by iteration with Chebyshev series

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Positive definite functions and Volterra integral equations

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The Gronwall Inequality for Weighted Integrals

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Gronwall's Inequality in n Independent Variables

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Identifiers

zbMATH Open document ID

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10.1007/BF01844490

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1142388

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