Infinitely many nontrivial periodic solutions for damped vibration problems with asymptotically linear terms

2014 ◽  
Vol 245 ◽  
pp. 438-446 ◽  
Author(s):  
Guanwei Chen
Keyword(s):  
Periodic Solutions ◽  
Asymptotically Linear ◽  
Nontrivial Periodic Solutions ◽  
Vibration Problems ◽  
Damped Vibration Problems

scholarly journals Nontrivial periodic solutions to delay difference equations via Morse theory

2018 ◽  
Vol 16 (1) ◽  
pp. 885-896 ◽  
Author(s):  
Yuhua Long ◽  
Haiping Shi ◽  
Xiaoqing Deng
Keyword(s):  
Periodic Solutions ◽  
Difference Equations ◽  
Morse Theory ◽  
Sufficient Conditions ◽  
Asymptotically Linear ◽  
Linear Delay ◽  
Nontrivial Periodic Solutions ◽  
Delay Difference Equations ◽  
Delay Difference

AbstractIn this paper some sufficient conditions are obtained to guarantee the existence of nontrivial 4T + 2 periodic solutions of asymptotically linear delay difference equations. The approach used is based on Morse theory.

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