Stochastic Functional Differential Equations with Abstract Volterra Operators 1 : Existence of Solutions

2000 ◽  
pp. 391-402
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Stochastic Functional Differential Equations ◽  
Volterra Operators ◽  
Functional Differential ◽  
Stochastic Functional

scholarly journals On nondensely defined semilinear stochastic functional differential equations with nonlocal conditions

2006 ◽  
Vol 2006 ◽  
pp. 1-13 ◽  
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas ◽  
A. Ouahab
Keyword(s):  
Differential Equations ◽  
Hilbert Spaces ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Nonlocal Conditions ◽  
Stochastic Functional Differential Equations ◽  
First Order ◽  
Nonlinear Alternative ◽  
Functional Differential ◽  
Stochastic Functional

The nonlinear alternative of Leray-Schauder type is used to investigate the existence of solutions for first-order semilinear stochastic functional differential equations in Hilbert spaces.

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