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Anguraj, A.; Karthikeyan, K.

Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions. (English) Zbl 1165.34416

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2717-2721 (2009).
Summary: The existence, uniqueness and continuous dependence of a mild solution of an impulsive neutral functional differential evolution nonlocal Cauchy problem in general Banach spaces are studied by using the fixed point technique and semigroup of operators.

Cited in 34 Documents

MSC:

34K30 Functional-differential equations in abstract spaces
34K40 Neutral functional-differential equations
34K45 Functional-differential equations with impulses
47N20 Applications of operator theory to differential and integral equations
47D06 One-parameter semigroups and linear evolution equations

Keywords:

impulsive neutral equation; nonlocal condition; mild solutions; semigroup
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References:

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