scholarly journals Multiple periodic solutions of state-dependent threshold delay equations

2012 ◽  
Vol 32 (5) ◽  
pp. 1801-1833
Author(s):  
Benjamin B. Kennedy ◽  
Keyword(s):  
Periodic Solutions ◽  
Delay Equations ◽  
State Dependent ◽  
Multiple Periodic Solutions

scholarly journals Multiple periodic solutions for a class of second-order nonlinear neutral delay equations

2006 ◽  
Vol 2006 ◽  
pp. 1-9 ◽  
Author(s):  
Xiao-Bao Shu ◽  
Yuan-Tong Xu
Keyword(s):  
Periodic Solutions ◽  
Index Theory ◽  
Second Order ◽  
Delay Equations ◽  
Group Index ◽  
Neutral Delay ◽  
Variational Structure ◽  
Multiple Periodic Solutions ◽  
T Tau

By means of a variational structure andZ2-group index theory, we obtain multiple periodic solutions to a class of second-order nonlinear neutral delay equations of the formx″(t−τ)+λ(t)f(t,x(t),x(t−τ),x(t−2τ))=x(t),λ(t)>0,τ>0.

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