doi: 10.7763/IJAPM.2013.V3.202
Existence Theorem for Semilinear Impulsive Functional Differential Equations with Nonlocal Conditions
Haydar Akça
1,2
,
Jamal Benbourenane
1,2
,
Valéry Covachev
3
- 1 Applied Sciences
- 2 Mathematics Department, College of Arts and Sciences, Abu Dhabi University, P.O. Box 59911, Abu Dhabi, UAE
- 3 the Department of Mathematics & Statistics, College of Science, P.O. Box 36, Sultan Qaboos University, Muscat 123, Oman, on leave from the Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Abstract
The existence, uniqueness and continuous dependence of a mild solution of a Cauchy problem for semilinear impulsive first and second orderfunctional differential-equations with nonlocal conditions in general Banach spaces are studied. Methods of fixed point theorems, of a C<sub>0</sub> semigroup of operators and the Banach contraction theorem are applied.
Keywords
- Functional-differential equations
- impulsive
- mild solution
- nonlocal conditions
- semilinear
How to Cite
Haydar Akça, Jamal Benbourenane, and Valéry Covachev, "Existence Theorem for Semilinear Impulsive Functional Differential Equations with Nonlocal Conditions," International Journal of Applied Physics and Mathematics, vol. 3, no. 3, pp. 182-187, 2013. https://doi.org/ 10.7763/IJAPM.2013.V3.202
Copyright & License
Copyright © 2013 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).