Approximate solutions of impulsive integro-differential equations

Approximate solutions of impulsive integro-differential equations

In this paper, we consider impulsive integro-differential equations in Banach space and we establish the bound on the difference between two approximate solutions. We also discuss nearness and convergence of solutions of the problem under consideration. The impulsive integral inequality of Grownwall...

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Veröffentlicht in:Arabian journal of mathematics 2018-12, Vol.7 (4), p.273-279
Hauptverfasser: Jain, R. S., Reddy, B. Surendranath, Kadam, S. D.
Format: Artikel
Sprache:eng
Schlagworte:
34A12
47B38
47GXX
Banach spaces
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Production planning
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Beschreibung
Zusammenfassung:In this paper, we consider impulsive integro-differential equations in Banach space and we establish the bound on the difference between two approximate solutions. We also discuss nearness and convergence of solutions of the problem under consideration. The impulsive integral inequality of Grownwall type is used to obtain results.
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-018-0200-1