On nonlinear functional perturbation problems for ordinary differential equations

DOI10.1016/0022-0396(72)90005-8zbMath0243.34015OpenAlexW1980351013MaRDI QIDQ2554454

Thomas G. Hallam

Publication date: 1972

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(72)90005-8

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear ordinary differential equations and systems (34A30) Singular perturbations of ordinary differential equations (34D15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (6)

On representation and boundedness of solutions of a functional differential equation ⋮ Asymptotic equivalence of differential equations with Stepanoff-bounded functional perturbation ⋮ Asymptotic equivalence of an ordinary and a functional differential equation ⋮ On convergence of the solutions of a functional differential equation ⋮ Classification of Bounded Solutions of a Linear Nonhomogeneous Differential Equation ⋮ Existence, uniqueness, and stability theorems for bounded solutions of nonlinear differential systems

Cites Work

• A two-body problem of classical electrodynamics: the one-dimensional case
• Ordinary and delay differential equations
• Linear differential equations and functional analysis. I
• On the asymptotic relationships between solutions of two systems of ordinary differential equations
• On asymptotic equivalence of the bounded solutions of two systems of differential equations
• On the Stability of Ordinary Differential Equations
• On the Asymptotic Behavior of Functional Differential Equations
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