Periodic solutions of singular nonautonomous second order differential equations

DOI10.1007/s00030-007-7005-9zbMath1152.34027OpenAlexW2023894058MaRDI QIDQ927384

Naima Daoudi-Merzagui, Abdelkader Boucherif

Publication date: 6 June 2008

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-007-7005-9

zbMATH Keywords

periodic solutionsnonautonomous differential equationssingular nonlinearitiesmountain pass theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Nonconstant periodic solutions created by impulses for singular differential equations ⋮ IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS ⋮ Existence for singular periodic problems: a survey of recent results ⋮ Subharmonic solutions of nonautonomous second order differential equations with singular nonlinearities ⋮ Positive periodic solutions to impulsive delay differentialequations ⋮ Periodic solution generated by impulses for singular differential equations ⋮ Periodic solutions for a singular damped differential equation ⋮ Some existence results for a periodic problem with non-smooth potential ⋮ Variational approach to a singular second-order systems with impulses effects

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