scholarly journals Existence of Nontrivial Periodic Solutions for a Class of Resonance Hamiltonian Systems

1999 ◽  
Vol 233 (1) ◽  
pp. 1-25 ◽  
Author(s):  
Jiabao Su
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Nontrivial Periodic Solutions

scholarly journals Existence of multiple critical points for an asymptotically quadratic functional with applications

1996 ◽  
Vol 1 (3) ◽  
pp. 277-289 ◽  
Author(s):  
Shujie Li ◽  
Jiabao Su
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Critical Points ◽  
Morse Theory ◽  
Quadratic Functional ◽  
Functional Applications ◽  
Critical Points At Infinity ◽  
Nontrivial Periodic Solutions

Morse theory for isolated critical points at infinity is used for the existence of multiple critical points for an asymptotically quadratic functional. Applications are also given for the existence of multiple nontrivial periodic solutions of asymptotically Hamiltonian systems.

Three periodic solutions for -Hamiltonian systems

2011 ◽  
Vol 74 (5) ◽  
pp. 1596-1606 ◽  
Author(s):  
Chun Li ◽  
Zeng-Qi Ou ◽  
Chun-Lei Tang
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems

scholarly journals Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Meiqiang Feng
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Type Equation ◽  
Index Theorem ◽  
Rayleigh Equation ◽  
Deviating Arguments ◽  
Nontrivial Periodic Solutions ◽  
Existence Of Periodic Solutions

The Rayleigh equation with two deviating argumentsx′′(t)+f(x'(t))+g1(t,x(t-τ1(t)))+g2(t,x(t-τ2(t)))=e(t)is studied. By using Leray-Schauder index theorem and Leray-Schauder fixed point theorem, we obtain some new results on the existence of periodic solutions, especially for the existence of nontrivial periodic solutions to this equation. The results are illustrated with two examples, which cannot be handled using the existing results.

Sign in / Sign up

Export Citation Format

Share Document