Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces

2012 ◽  
Vol 349 (1) ◽  
pp. 1-24 ◽  
Author(s):  
A. Caicedo ◽  
C. Cuevas ◽  
G.M. Mophou ◽  
G.M. N’Guérékata
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Banach Spaces ◽  
Infinite Delay ◽  
Asymptotic Behavior Of Solutions ◽  
Functional Differential

scholarly journals Asymptotic behavior of solutions of nonlinear functional differential equations

1994 ◽  
Vol 17 (4) ◽  
pp. 703-712
Author(s):  
Jong Soo Jung ◽  
Jong Yeoul Park ◽  
Hong Jae Kang
Keyword(s):  
Differential Equation ◽  
Hilbert Space ◽  
Asymptotic Behavior ◽  
Differential Equations ◽  
Maximal Monotone Operator ◽  
Functional Differential Equations ◽  
Maximal Monotone ◽  
Asymptotic Behavior Of Solutions ◽  
Nonlinear Functional ◽  
Functional Differential

Using the properties of almost nonexpansive curves introduced by B. Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equationdu(t)/dt+Au(t)+G(u)(t)?f(t), whereAis a maximal monotone operator in a Hilbert spaceH,f?L1(0,8:H)andG:C([0,8):D(A)¯)?L1(0,8:H)is a given mapping.

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