Asymptotics of Differential Systems with Deviating Arguments

DOI10.2307/2045189zbMath0581.34056OpenAlexW4241852426MaRDI QIDQ3704255

William F. Trench

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045189

zbMATH Keywords

exampleSchauder-Tychonoff theoremintegral smallness conditions

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Qualitative theory for ordinary differential equations (34C99) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (4)

On \(t_{\infty}\) quasi-similarity of linear systems (*) ⋮ On the asymptotic properties of the solutions of systems of differential equations with impulse effect ⋮ Extensions of a Theorem of Wintner on Systems With Asymptotically Constant Solutions ⋮ Efficient application of the Schauder-Tychonoff theorem to systems of functional differential equations

Cites Work

• On the oscillation of a class of nonlinear differential systems with deviating argument
• Systems of Differential Equations Subject to Mild Integral Conditions
• Oscillation and a class of nonlinear differential systems with general deviating arguments
• Asymptotic Integrations of Second Order Differential Equations with Integrable Coefficients
• Asymptotic integration of a nonhomogeneous differential equation with integrable coefficients

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