Singular perturbations of nonlinear systems of differential equations related to conditional stability

DOI10.1215/S0012-7094-56-02360-2zbMath0072.30601OpenAlexW1510240887MaRDI QIDQ767787

Jacob J. Levin

Publication date: 1956

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-56-02360-2

zbMATH Keywords

Difference EquationsOrdinary Differential Equations

Related Items (12)

Singularly perturbed differential/algebraic equations. I: Asymptotic expansion of outer solutions ⋮ Two problems in singular perturbations of differential equations ⋮ Geometric singular perturbation theory for ordinary differential equations ⋮ Singular perturbations and conditional stability ⋮ Remarks on a Certain Hypothesis in Singular Perturbations ⋮ Invariant manifolds in singular perturbation problems for ordinary differential equations ⋮ Asymptotic properties of solutions of nonlinear vector initial value problem on the infinite interval ⋮ Asymptotic solutions of initial value problems of ordinary differential equations with a small parameter in the derivative. II ⋮ Singular perturbations of initial value problems over a finite interval ⋮ The Asymptotic Behavior of the Stable Initial Manifolds of a System of Nonlinear Differential Equations ⋮ Boundary layer behavior in perturbed second-order systems ⋮ Existence and dependence on a parameter of solutions of a nonlinear two point boundary value problem

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