Periodic solutions for systems of functional-differential semilinear equations at resonance

DOI10.12775/TMNA.2020.078MaRDI QIDQ2075749

Julián Epstein, Arturo Sanjuán Cuéllar, Pablo Amster

Publication date: 15 February 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12451

zbMATH Keywords

periodic solutionsfunctional-differential equationscoincidence degreeLazer-Leach conditions

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Cites Work

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• On the existence of periodic solutions for a kind of high-order neutral functional differential equation
• On a generalization of Lazer-Leach conditions for a system of second order ODE's
• An abstract existence theorem at resonance and its applications
• Lazer-Leach conditions for coupled Gompertz-like delayed systems
• Periodic solutions for differential equations at resonance with unbounded nonlinearities
• On Schauder's fixed point theorem and forced second-order nonlinear oscillations
• Bounded perturbations of forced harmonic oscillators at resonance
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces

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