Article
MSC:
34A37,
34G25,
34K09,
34K30,
34K35,
34K45,
47N20 | MR 2810245 | Zbl 1224.34207 | DOI: 10.1007/s10492-011-0004-5
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Keywords:
impulsive semilinear neutral functional differential equation; densely defined operator; infinite delay; phase space; fixed point; mild solutions; extremal mild solution
impulsive semilinear neutral functional differential equation; densely defined operator; infinite delay; phase space; fixed point; mild solutions; extremal mild solution
Summary:
In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
References:
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