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Hernandez, Eduardo; Balachandran, K.; Annapoorani, N.

Existence results for a damped second order abstract functional differential equation with impulses. (English) Zbl 1185.34113

Math. Comput. Modelling 50, No. 11-12, 1583-1594 (2009).
Summary: We study the existence and regularity of mild solutions for a damped second order abstract functional differential equation with impulses. The results are obtained using the cosine function theory and fixed point criterions.

Cited in 10 Documents

MSC:

34K30 Functional-differential equations in abstract spaces
34G10 Linear differential equations in abstract spaces
34K45 Functional-differential equations with impulses

Keywords:

damped second order impulsive differential equation; cosine functions of operators; mild solution; strong solution; classical solution
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\textit{E. Hernandez} et al., Math. Comput. Modelling 50, No. 11--12, 1583--1594 (2009; Zbl 1185.34113)
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References:

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