Stability and asymptotic behavior of solutions for some linear partial functional differential equations in critical cases

2009 ◽  
Vol 70 (11) ◽  
pp. 4008-4020 ◽  
Author(s):  
Khalil Ezzinbi ◽  
Aziz Ouhinou
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Partial Functional Differential Equations ◽  
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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