Periodic solutions of dissipative functional differential equations

DOI10.2748/tmj/1178225721zbMath0805.34059OpenAlexW2023076256MaRDI QIDQ1338409

Géza Makay

Publication date: 29 November 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225721

zbMATH Keywords

periodic solutionsLyapunov functionalsuniform ultimate boundednessdissipativenessperiodic finite delay differential equations

Mathematics Subject Classification ID

Related Items (13)

Existence of multiple positive periodic solutions for functional differential equations ⋮ ON THE NUMBER OF POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND POPULATION MODELS ⋮ Periodic solutions of dissipative functional differential equations with infinite delay ⋮ Periodic oscillation for discrete-time Hopfield neural networks ⋮ Positive periodic solutions for a class of delay differential equations ⋮ Positive periodic solutions of infinite delay functional differential equations depending on a parameter. ⋮ Positive periodic solutions of higher-dimensional functional difference equations with a parameter. ⋮ Asymptotic stability and boundedness for functional differential equations ⋮ Dynamics of Cohen-Grossberg neural network with variable coefficients and time-varying delays ⋮ Levinson’s Problem on Affine-Periodic Solutions ⋮ Affine-periodic solutions for dissipative systems ⋮ Positive periodic solutions of functional differential equations with impulse on time scales ⋮ Periodic solutions for dissipative-repulsive systems

Cites Work

• Uniform boundedness for delay equations
• Stability and periodic solutions of ordinary and functional differential equations
• An autonomous system whose solutions are uniformly ultimately bounded but not uniformly bounded
• Fixed point theorems and dissipative processes
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• An example on the asymptotic stability for functional differential equations
• Some Fixed Point Theorems for Compact Maps and Flows in Banach Spaces
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