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Global existence and stability for neutral functional evolution equations with state-dependent delay. (English) Zbl 1311.34160

Summary: We prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.

MSC:

34K30 Functional-differential equations in abstract spaces
34K20 Stability theory of functional-differential equations
34K40 Neutral functional-differential equations
47N20 Applications of operator theory to differential and integral equations
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