Periodic solutions for \(2k\)th order ordinary differential equations with resonance

DOI10.1006/jmaa.2000.7407zbMath0994.34028OpenAlexW2003099215MaRDI QIDQ5945756

Weiguo Li

Publication date: 29 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7407

zbMATH Keywords

Hilbert spaceresonancehigher-order differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (11)

Periodic solutions for nonlinear \(n\)th order differential equations with delays ⋮ Periodic solution to nonlinear differential equation at resonance ⋮ Initial value problem method for diffeomorphism and its applications ⋮ Anti-periodic solutions for a class of nonlinear \(n\)th-order differential equations with delays ⋮ The existence and uniqueness of periodic solutions for some nonlinear \(n\)th-order differential equations ⋮ The existence of anti-periodic solutions for high order Duffing equation ⋮ The periodic boundary value problem for semilinear elastic beam equations: the resonance case ⋮ Odd periodic solutions for 2\(n\)th-order ordinary differential equations ⋮ Minimax theorems and applications to the existence and uniqueness of solutions of some differential equations ⋮ An application of a global inversion theorem to an existence and uniqueness theorem for a class of nonlinear systems of differential equations ⋮ On the solvability of the higher order elliptic boundary value problem

Cites Work

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• A mini max theorem and applications to nonresonance problems for semilinear equations
• Periodically perturbed conservative systems and a global inverse function theorem
• Periodic solutions for 2kth order ordinary differential equations with nonresonance
• Diffeomorphisms with Banach space domains
• On the periodic solution to the Newtonian equation of motion
• Application of a Lemma on Bilinear Forms to a Problem in Nonlinear Oscillations

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