A duality theorem for periodic solutions of a class of second order evolution equations

DOI10.1006/jdeq.2000.3860zbMath1010.34054OpenAlexW2021068229MaRDI QIDQ5943235

Rafael Ortega, Aureliano M. Robles-Pérez

Publication date: 30 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3860

zbMATH Keywords

periodic solutionssecond-order evolution equationsabstract integral equationPoincaré operator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20)

Related Items (8)

Positive doubly periodic solutions of telegraph equations with delays ⋮ Maximum principles and the method of upper and lower solutions for time-periodic problems of the telegraph equations ⋮ Periodic solutions of nonlinear hyperbolic evolution systems ⋮ Positive doubly periodic solutions of nonlinear telegraph equations. ⋮ An Ambrosetti-Prodi-type result for doubly periodic solutions of the telegraph system ⋮ Periodic solutions of the nonlinear telegraph equations with bounded nonlinearities ⋮ Ambrosetti-Prodi type result in semi-linear damped beam equations ⋮ Existence of solutions for time second order nonmonotone differential equations involving convex potentials with periodic and anti-periodic boundary conditions

Cites Work

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