Existence results for an impulsive neutral integro-differential equations in Banach spaces

In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.

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Veröffentlicht in:	Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2019-12, Vol.27 (3), p.231-257
Hauptverfasser:	Usha, Venkatesh, Baleanu, Dumitru, Arjunan, Mani Mallika
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations with Impulses Fixed point theorem Neutral equations Primary 47H10, 34A37 Secondary 34K40, 47D03 Semigroups of linear operators
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Zusammenfassung:	In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.
ISSN:	1844-0835 1844-0835
DOI:	10.2478/auom-2019-0043