Periodic and almost periodic solutions of functional-differential equations

DOI10.1007/BF00249199zbMath0129.06006OpenAlexW1978808400MaRDI QIDQ2394827

Jack K. Hale

Publication date: 1964

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00249199

zbMATH Keywords

ordinary differential equations

Related Items (31)

The existence of almost periodic solution: via coincidence degree theory ⋮ Dynamics of solutions and approximation for partial functional differential equations with delay ⋮ Extreme stability and almost periodic solutions of functional differential equations ⋮ Asymptotic stability of solutions of an almost periodic system of functional-differential equations ⋮ Quasi-uniformly asymptotic stability and existence of almost periodic solutions of difference equations with applications in population dynamic systemsThis work was supported by the National natural science foundation of China under grant (No.10671127) and Shanghai outstanding discipline leader project (No. 06XD14034) and Shanghai municipal education commission No. 06DZ002. ⋮ Exponential asymptotic stability for functional differential equations with infinite retardations ⋮ Almost periodic solutions of functional differential equations with infinite retardation. II ⋮ Existence, uniqueness, and continuous dependence for hereditary differential equations ⋮ Existence of almost periodic solutions to delay differential equations with Lipschitz nonlinearities ⋮ Stability of a periodic solution for fuzzy differential equations ⋮ On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations ⋮ Existence of almost periodic solutions of functional differential equations of neutral type ⋮ Periodic solutions of first-order nonlinear functional differential equations ⋮ On a conjecture of K. Cooke ⋮ The existence of almost periodic solutions of some delay differential equations ⋮ A note on the existence of periodic solutions of a differential- difference equation of mixed type ⋮ An invariant surface for some linear singularly perturbed systems with time lag ⋮ The condition of regular degeneration for singularly perturbed linear differential-difference equations ⋮ Stability and existence of a periodic solution ⋮ Existence of a globally uniform-asymptotically stable periodic and almost periodic solution ⋮ Stability conditions for the existence of almost-periodic solutions of almost-periodic systems ⋮ On the existence of periodic solutions of z'(t)=-az(t-r+uk(t,z(t)))+F(t) ⋮ A condition for almost periodicity with some applications to functional- differential equations ⋮ Periodic solutions of nonlinear functional differential equations ⋮ Uniqueness of limit cycles for a class of Lienard systems with applications ⋮ Strict stability in general dynamical systems ⋮ Existence of almost periodic solutions for neutral delay difference systems ⋮ Periodic solutions of hereditary differential systems ⋮ Almost periodic solutions for almost periodic systems of ordinary differential equations ⋮ Almost periodic solutions of delay difference systems ⋮ On periodic solutions of first order linear functional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Forced periodic solutions of a stable non-linear differential-difference equation
• Bounded and almost periodic solutions of singularly perturbed equations
• Forced periodic solutions of systems of differential equations
• Note on Almost Periodic Solutions of Non-Linear Differential Equations
• Forced Periodic Solutions of a Stable Non‐Linear System of Differential Equations

This page was built for publication: Periodic and almost periodic solutions of functional-differential equations