An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay

An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay

We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness. An example is presented...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.520-527-954
Hauptverfasser: Li, Fang, Wang, Huiwen
Format: Artikel
Sprache:eng
Schlagworte:
Banach space
Cauchy problem
Existence theorems
Mathematical research
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Zusammenfassung:We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness. An example is presented.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/724854