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arXiv · 2004.12451

Systems of functional-differential equations periodic solutions for systems of functional-differential semilinear equations at resonance

Pablo Amster·Julián Epstein·Arturo Sanjuán
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Abstract

Motivated by Lazer-Leach type results, we study the existence of periodic solutions for systems of functional-differential equations at resonance with an arbitrary even-dimensional kernel and linear deviating terms involving a general delay of the form $\int_0^{2\pi}u(t+s)\,d\lambda(s)$, where $\lambda$ is a finite regular signed measure. Our main technique shall be the Coincidence Degree Theorem due to Mawhin.

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Pablo Amster, Julián Epstein, Arturo Sanjuán. 2020-04-26. Systems of functional-differential equations periodic solutions for systems of functional-differential semilinear equations at resonance. https://arxiv.org/abs/2004.12451

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