Existence results for non-autonomous neutral integro-differential systems with impulsive and nonlocal conditions

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DOI:

https://doi.org/10.26637/mjm404/008

Abstract

In accordance with semigroup theory, fractional powers of operators, approximation techniques and Banach contraction principle fixed point theorem, this manuscript is primarily involved with the existence results for an impulsive non-autonomous neutral integro-differential systems with nonlocal conditions in Banach space E.

Keywords:

Integro-differential equations, Semigroup theory, Impulsive and nonlocal conditions, Evolution equations, Fixed point theorem

Mathematics Subject Classification:

34A37, 34K37, 35R11, 34G20
  • M. Abinaya Department of Mathematics, Sri Nehru Maha Vidyalaya College of Arts & Science, Coimbatore - 641021, Tamil Nadu, India.
  • V. Mohana Department of Science and Humanities (Mathematics), M. Kumarasamy College of Engineering, Karur-639113, Tamil Nadu, India.
  • Pages: 606-611
  • Date Published: 01-10-2016
  • Vol. 4 No. 04 (2016): Malaya Journal of Matematik (MJM)

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Published

01-10-2016

How to Cite

M. Abinaya, and V. Mohana. “Existence Results for Non-Autonomous Neutral Integro-Differential Systems With Impulsive and Nonlocal Conditions”. Malaya Journal of Matematik, vol. 4, no. 04, Oct. 2016, pp. 606-11, doi:10.26637/mjm404/008.