Infinite periodic solutions to a class of second-order Sturm-Liouville neutral differential equations

DOI10.1016/j.na.2006.11.046zbMath1146.34047OpenAlexW1992980159MaRDI QIDQ2470081

Xiao-Bao Shu, Yuan-Tong Xu, Li-Hong Huang

Publication date: 13 February 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.11.046

zbMATH Keywords

periodic solutionscritical point theory\(Z_2\) group index theorySecond-order neutral delay equations

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13)

Related Items (8)

Multiple periodic solutions for a class of second-order neutral functional differential equations ⋮ Periodic solutions for a class of second order delay systems ⋮ Existence and multiplicity of mild solutions for first-order Hamilton random impulsive differential equations with Dirichlet boundary conditions ⋮ Multiplicity results of periodic solutions for a class of second order delay differential systems ⋮ Multiplicity results on period solutions to higher dimensional differential equations with multiple delays ⋮ Multiple periodic solutions for a class of second-order neutral impulsive functional differential equations ⋮ Homoclinic orbits for a singular second-order neutral differential equation ⋮ THE EXISTENCE OF PERIODIC SOLUTIONS FOR THREE-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

Cites Work

• Periodic solutions of nonlinear delay equations
• Critical point theory and Hamiltonian systems
• An abstract existence theorem at resonance and its applications
• Existence of periodic solutions to second-order Hamiltonian systems with potential indefinite in sign
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Infinite periodic solutions to a class of second-order Sturm-Liouville neutral differential equations