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Extrapolation method and some nondensely defined impulsive semilinear neutral partial functional differential inclusions. (English) Zbl 1240.34296

Summary: We use the extrapolation method combined with a fixed-point theorem for the sum of completely continuous and contraction operators, to establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some classes of nondensely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces with infinite delay.

MSC:

34K09 Functional-differential inclusions
34K40 Neutral functional-differential equations
34K45 Functional-differential equations with impulses
47N20 Applications of operator theory to differential and integral equations
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