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Existence results for random neutral functional integrodifferential inclusions. (English) Zbl 1212.34238

Summary: We prove the existence of random solutions for neutral functional integrodifferential inclusions with lower semicontinuous and nonconvex-valued right-hand side. Then, we establish a sufficient condition for the existence of viable solutions to yield the existence of random viable solutions to neutral functional integrodifferential inclusions defined in a separable Banach space.

MSC:

34K30 Functional-differential equations in abstract spaces
34K40 Neutral functional-differential equations
34K09 Functional-differential inclusions
34K50 Stochastic functional-differential equations
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