EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES

Volume 4, Issue 2, pp 138-151 http://dx.doi.org/10.22436/jnsa.004.02.06

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Authors

V. KAVITHA - Department of Mathematics, Karunya University, , , Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India. M. MALLIKA ARJUNAN - Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India. C. RAVICHANDRAN - Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore- 641 114, Tamil Nadu, India.

Abstract

According to semigroup theories and Sadovskii fixed point theorem, this paper is mainly concerned with the existence of solutions for an impulsive neutral differential and integrodifferential systems with nonlocal conditions in Banach spaces. As an application of this main theorem, a practical consequence is derived for the sub-linear growth case. In the end, an example is also given to show the application of our result.

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Keywords

• Nonlocal condition
• Impulsive differential equation
• Sadovskii fixed point theorem

MSC

•  34A37

References

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