Topics in singular perturbations (Q2541767)

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English	Topics in singular perturbations	scientific article

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scholarly article

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Topics in singular perturbations (English)

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zbMATH Open document ID

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10.1016/0001-8708(68)90023-6

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Robert E. jun. O'Malley

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Advances in Mathematics

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publication date

1968

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/0001-8708(68)90023-6

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Quantum mechanics and asymptotic series

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On the Single First-Order Partial Differential Equation with a Small Parameter

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Degeneration of the solutions of certain well-posed systems of partial differential equations depending on a small parameter

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Second-order linear parabolic equations with a small parameter

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The second initialpboundary-value problem for a linear parabolic equation with a small parameter

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Vibrations of rotating beams with tip mass

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The Nature of Solutions of a Rayleigh-Type Forced Vibration Equation with a Large Coefficient of Damping

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Boundary Layer Problems in Applied Mechanics

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Boundary layer problems in applied mathematics

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On the uniqueness of solutions of linear differential equations

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A Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter

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On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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Asymptotic developments. I: Fundamental theorems of asymptotics

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Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type

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On a nonlinear boundary value problem involving a small parameter

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Singular Perturbations of Boundary Value Problems Involving Ordinary Differential Equations

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Two-Variable Expansions for Singular Perturbations

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Singular perturbations of non-linear oscillations

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Asymptotic phenomena in mathematical physics

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Étude asymptotique des oscillations de relaxation

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Exemples concrets d'étude asymptotique d'oscillations de relaxation

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Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations, I eigenvalue problems

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Singular perturbations of two-point boundary problems for systems of ordinary differential equations

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Singular perturbations of eigenvalue problems

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Singular perturbation of a boundary value problem for a nonlinear system of differential equations

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Equivalent classes of singular perturbation problems

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Singular Perturbations on the Infinite Interval

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Stability in systems with parameter

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Phénomènes de perturbation singulière dans les problèmes aux limites

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The role of coordinate systems in boundary-layer theory

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Sur les équations hyperboliques avec petit paramètre

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Non‐coercive boundary value problems

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Stability by Liapunov's direct method. With applications

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Perturbations of Discontinuous Solutions of Non-Linear Systems of Differential Equations

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The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\)

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Perturbations of discontinuous solutions of non-linear systems of differential equations

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Some remarks on the flat plate boundary layer

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Sur certaines équations paraboliques non linéaires

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Singular perturbations of a boundary value problem for a system of nonlinear ordinary differential equations

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Singular Perturbation Eigenvalues by a Method of Undetermined Coefficients

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Asymptotic calculation of periodic solutions of systems of differential equations containing small parameters in the derivatives

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Singular perturbation of eigenvalue problems for linear differential equations of even order

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Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters

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The first boundary value problem for certain linear elliptic differential equations involving two small parameters

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A boundary value problem for certain nonlinear second order differential equations with a small parameter

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Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations, II boundary value problems

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Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives

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On Certain Relaxation Oscillations: Asymptotic Solutions

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Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder

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The Importance of Asymptotic Analysis in Applied Mathematics

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Singular perturbations of Cauchy's problem

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Asymptotic Solutions of Certain Ordinary Differential Equations Associated with Multiple Roots of the Characteristic Equation

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ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES

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Regular degeneration and boundary layer for linear differential equations with small parameter

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THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I

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On the Asymptotic Solution of Boundary Value Problems for Ordinary Differential Equations Containing a Parameter

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Asymptotic solution of boundary value problems for the differential equation \(\Delta U+\lambda\partial U/\partial x=\lambda f(x,y)\)

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Singular perturbations of boundary value problems for nonlinear differential equations of the second order

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Asymptotic decomposition of systems of linear differential equations having poles with respect to a parameter

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On a nonlinear boundary value problem with a small parameter multiplying the highest derivative

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The parabolic equation as a limiting case of a certain elliptic equation

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ON THE LIMIT OF SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS AS THE RETARDATION APPROACHES ZERO

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On the behavior of the solution of the telegraphist's equation for large velocities

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Almost periodic solutions of singularity perturbed systems of differential equations

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Boundary layers for almost characteristic boundaries

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The condition of regular degeneration for singularly perturbed linear differential-difference equations

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The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations

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Approximate solutions of a nonlinear boundary value problem

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Non-linear deflection of thin elastic plates under tension

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Considerations regarding the mathematical basis for Prandtl's boundary layer theory

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Singular perturbations for partial differential equations

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A Boundary Value Problem for a Singularly Perturbed Differential Equation

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Bounded and almost periodic solutions of singularly perturbed equations

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On systems of ordinary differential equations with several parameters multiplying the derivatives

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Reduction of the order of a linear ordinary differential equation containing a small parameter

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Asymptotic theory of second order differential equations with two simple turning points

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Perturbation Theory of Nonlinear Boundary-Value Problems

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The Dirichlet problem for a thin rectangle

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On a class of singular perturbation problem

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A boundary value problem for a singularly perturbed differential equation

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On the Asymptotic Solutions of a Class of Ordinary Differential Equations of the Fourth Order: I. Existence of Regular Formal Solutions

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Asymptotic Methods for Systems of Differential Equations in which some Variables have very Short Response Times

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Nonlinear boundary-value problems arising in chemical reactor theory

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The Solutions of Second Order Linear Ordinary Differential Equations About a Turning Point of Order Two

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On the Approximation of Double Limits by Single Limits and the Kaplun Extension Theorem

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On singular perturbation in non well posed problems

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A Method of Error Estimation in Singular Perturbation Problems with Application to the Restricted Three Body Problem

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Forced Oscillations of the Generalized Liénard Equation

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On the asymptotic solution of nonhomogeneous ordinary differential equations with a large parameter

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Error bounds for asymptotic solutions of differential equations. 2. The general case

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Continuity properties on the retardation in the theory of difference-differential equations

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Über eine asymptotische Darstellung der Lösung eines Systems von Differentialgleichungen, welche von zwei Parametern abhängen, und eine Anwendung auf spezielle Differentialgleichungen zweiter Ordnung

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Perturbation solutions and asymptotic solutions in boundary layer theory

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The asymptotic form of the solution to the Cauchy problem for an integrodifferential equation with a small parameter

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THE WORK OF TIKHONOV AND HIS PUPILS ON ORDINARY DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER

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Singular perturbation problems of systems of two ordinary analytic differential equations

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Asymptotic simplification of self-adjoint differential equations with a parameter

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Connection problems for asymptotic series

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Mathematics(1 entry)

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