scholarly journals Semi-Hyperbolic Mappings, Condensing Operators, and Neutral Delay Equations

1997 ◽  
Vol 137 (2) ◽  
pp. 320-339 ◽  
Author(s):  
A.A Al-Nayef ◽  
P.E Kloeden ◽  
A.V Pokrovskii
Keyword(s):  
Delay Equations ◽  
Neutral Delay ◽  
Condensing Operators

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.

scholarly journals Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations

2008 ◽  
Vol 2008 ◽  
pp. 1-13 ◽  
Author(s):  
M. Ayachi ◽  
J. Blot
Keyword(s):  
Variational Methods ◽  
Periodic Solutions ◽  
Delay Equations ◽  
Delay Equation ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Neutral Delay ◽  
Density Result

We provide new variational settings to study the a.p. (almost periodic) solutions of a class of nonlinear neutral delay equations. We extend Shu and Xu (2006) variational setting for periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain results on the structure of the set of the a.p. solutions, results of existence of a.p. solutions, results of existence of a.p. solutions, and also a density result for the forced equations.

State-dependent neutral delay equations from population dynamics

2014 ◽  
Vol 69 (4) ◽  
pp. 1027-1056 ◽  
Author(s):  
M. V. Barbarossa ◽  
K. P. Hadeler ◽  
C. Kuttler
Keyword(s):  
Population Dynamics ◽  
Delay Equations ◽  
Neutral Delay ◽  
State Dependent
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