Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities

DOI10.1186/s13661-023-01799-yOpenAlexW4388905791MaRDI QIDQ6126912

Ling-Ling Wang, Shaoyong Lai, Xiumei Xing

Publication date: 10 April 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-023-01799-y

zbMATH Keywords

existencemultiplicityperiodic solutionsingular potential

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Cites Work

• Boundedness of solutions of forced isochronous oscillators with singularity at resonance
• Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance
• On the boundedness of solutions to a nonlinear singular oscillator
• Periodic orbits of radially symmetric Keplerian-like systems: a topological degree approach
• Quasi-periodic solutions of forced isochronous oscillators at resonance
• Boundedness of solutions for a class of second-order differential equation with singularity
• Bounded perturbations of forced harmonic oscillators at resonance
• Bouncing solutions of an equation with attractive singularity
• A Generalization of the Poincare-Birkhoff Theorem

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