Efficient application of the Schauder-Tychonoff theorem to systems of functional differential equations

DOI10.1016/0022-247X(90)90211-WzbMath0715.34127MaRDI QIDQ752301

William F. Trench

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Schauder-Tychonoff theorem

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (1)

Large time behavior of solutions to a system of coupled nonlinear oscillators via a generalized form of Schauder-Tychonoff fixed point theorem

Cites Work

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• On the oscillation of a class of nonlinear differential systems with deviating argument
• Systems of Differential Equations Subject to Mild Integral Conditions
• Asymptotics of Differential Systems with Deviating Arguments
• Extensions of a Theorem of Wintner on Systems With Asymptotically Constant Solutions
• Oscillation of First-Order Nonlinear Differential Equations with Deviating Arguments
• 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
• Asymptotic Behavior of Solutions of Perturbed Linear Systems
• On a Theorem of Bocher in the Theory of Ordinary Linear Differential Equations

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