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In this paper, we focus on the local existence of mild solution for a class of stochastic functional differential equations of Sobolev-type with infinite delay.
then (1.1) has a unique mild solution for every.
A suitable mild solution for the Cauchy problem is introduced.
Then there exists a unique mild solution for this problem.
then (1.1) has a mild solution for every.
In this paper, we discuss the existence and uniqueness of mild solution for.
Step 4: In this part, we certify the uniqueness of the mild solution for problem (1.1).
From Theorem 5, weinfer that there exists a mild solution for the system (1 -(4).
Part 3: Certify the uniqueness of the mild solution for problem (1.1).
Presently, we are in a position to characterize the mild solution for system (1.1 - 1.3 1.1 - 1.3
Then there exists at least one mild solution for problem (1.1).
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