On Mild Solutions of Nonlocal Semilinear Impulsive Functional Integro-Differential Equations of Second Order


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Authors

  • Rupali S. Jain School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, India
  • M. B. Dhakne Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India

Keywords:

Existence, Uniqueness, Impulsive, Functional integro-differential equation, Fixed point, Cosine family, Second order

Abstract

This paper investigates the existence, uniqueness and continuous dependence on initial data of mild solutions of second order nonlocal semilinear functional impulsive integro-differential equations of more general type with delay in Banach spaces by using Banach contraction theorem and theory of cosine family of operators.

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Published

01-12-2015

How to Cite

Rupali S. Jain, & M. B. Dhakne. (2015). On Mild Solutions of Nonlocal Semilinear Impulsive Functional Integro-Differential Equations of Second Order. International Journal of Mathematics And Its Applications, 3(4 - A), 15–22. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/482

Issue

Vol. 3 No. 4 - A (2015)

Section

Research Article

License

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