Existence and multiplicity of periodic solutions for second-order systems at resonance

DOI10.1016/j.nonrwa.2010.02.008zbMath1205.34045OpenAlexW1991713700MaRDI QIDQ708539

Jun Wang, Jicheng Wei, Fubao Zhang

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.008

zbMATH Keywords

variational methodscritical pointssaddle point theoremSobolev's inequality

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

Related Items (1)

Existence and multiplicity of solutions for second-order Hamiltonian systems satisfying generalized periodic boundary value conditions at resonance

Cites Work

• Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity
• Critical point theory and Hamiltonian systems
• Periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials
• Periodic solutions for a class of nonautonomous subquadratic second order Hamiltonian systems.
• Periodic non-autonomous second-order dynamical systems
• Multiple periodic solutions for second order systems with changing sign potential
• Periodic solutions of partially superquadratic second order Hamiltonian systems
• Remarks on finding critical points
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Methods in Nonlinear Analysis
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