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Second Order Semilinear Volterra-Type Integro-Differential Equations with Non-Instantaneous Impulses.
- Source :
- Mathematics (2227-7390); Dec2019, Vol. 7 Issue 12, p1134, 1p
- Publication Year :
- 2019
-
Abstract
- We consider a non-instantaneous system represented by a second order nonlinear differential equation in a Banach space E. We use the family of linear bounded operators introduced by Kozak, Darbo fixed point method and Kuratowski measure of noncompactness. A new set of sufficient conditions is formulated which guarantees the existence of the solution of the non-instantaneous system. An example is also discussed to illustrate the efficiency of the obtained results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 140954434
- Full Text :
- https://doi.org/10.3390/math7121134