Monotonic solutions of a quadratic integral equation of Volterra type

DOI10.1016/S0898-1221(04)90024-7zbMath1059.45002OpenAlexW2006434620MaRDI QIDQ1433108

Józef Banaś, Antonio Martinón

Publication date: 15 June 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90024-7

zbMATH Keywords

measure of noncompactnessnonlinear quadratic Volterra integral equationnondecreasing solutionsmonotonic solutionsDarbo type fixed point theorem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (48)

Numerical solution of a non-linear Volterra integral equation ⋮ On Erdélyi-Kober type quadratic integral equation with linear modification of the argument ⋮ Some existence theorems for systems of equations involving condensing operators and applications ⋮ Monotonic solutions for a quadratic integral equation of fractional order ⋮ On monotonic L_ϕ-solutions for a class of quadratic-Urysohn integral equations ⋮ On existence and uniqueness of \(L_1\)-solutions for quadratic integral equations via a Krasnoselskii-type fixed point theorem ⋮ Solvability of a \(q\)-fractional integral equation arising in the study of an epidemic model ⋮ Projective surjectivity of quadratic stochastic operators on \(L^1\) and its application ⋮ Nondecreasing solutions of a quadratic singular Volterra integral equation ⋮ A cone measure of noncompactness and some generalizations of Darbo's theorem with applications to functional integral equations ⋮ Asymptotic stability of solutions to a nonlinear Urysohn quadratic integral equation ⋮ Existence results for coupled systems of quadratic integral equations of fractional orders ⋮ Boundedly connected sets and the distance to the intersection of two sets ⋮ Adomian solution of a nonlinear quadratic integral equation ⋮ Existence theorems for generalized nonlinear quadratic integral equations via a new fixed point result ⋮ Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type ⋮ Stabilization of coupled systems of quadratic integral equations of Chandrasekhar type ⋮ On monotonic integrable solutions for quadratic functional integral equations ⋮ On quadratic integral equations in Orlicz spaces ⋮ Positive solutions of a quadratic integro-differential equation ⋮ Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel ⋮ Fixed point method for solving nonlinear quadratic Volterra integral equations ⋮ On the quadratic integral equations and their applications ⋮ ON URYSOHN-VOLTERRA FRACTIONAL QUADRATIC INTEGRAL EQUATIONS ⋮ On solutions of quadratic integral equations in Orlicz spaces ⋮ Elliptic quadratic operator equations ⋮ Monotonicity properties of the superposition operator and their applications ⋮ Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type ⋮ Existence of monotone solutions for a nonlinear quadratic integral equation of Volterra type ⋮ On a perturbed quadratic fractional integral equation of Abel type ⋮ On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument ⋮ Unnamed Item ⋮ Monotonic positive solution of a nonlinear quadratic functional integral equation ⋮ Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation ⋮ On a class of quadratic Urysohn-Hammerstein integral equations of mixed type and initial value problem of fractional order ⋮ Monotonic solutions of a perturbed quadratic fractional integral equation ⋮ Picard and Adomian decomposition methods for a quadratic integral equation of fractional order ⋮ Moment explosions in the rough Heston model ⋮ Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations ⋮ On local attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation ⋮ Convex solutions of a nonlinear integral equation of Urysohn type ⋮ On quadratic integral equation of fractional orders ⋮ On a quadratic integral equation with supremum involving Erdélyi-Kober fractional order ⋮ An Application of Darbo Fixed-Point Theorem to a Class of Functional Integral Equations ⋮ On successive approximation method for coupled systems of Chandrasekhar quadratic integral equations ⋮ On the solvability of a self-reference functional and quadratic functional integral equations ⋮ Solvability of a 2 x 2 block operator matrix of chandrasekhar type on a Bananch algebra ⋮ Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence principles for nonlinear resonant operator and integral equations
• Existence theorems for an integral equation of the Chandrasekhar H- equation with perturbation
• Existence theorems for some quadratic integral equations
• Global existence for nonlinear operator inclusions
• Punti uniti in trasformazioni a codominio non compatto
• Integral equations arising in the kinetic theory of gases
• Quadratic equations and applications to Chandrasekhar's and related equations
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• Solvability of Volterra-Stieltjes operator-integral equations and their applications

This page was built for publication: Monotonic solutions of a quadratic integral equation of Volterra type