On Some Qualitative Properties of Mild Solutions of Nonlocal Semilinear Functional Differential Equations

Rupali S. Jain 1  and M. B. Dhakne 2
  • 1 SCHOOL OF MATHEMATICAL SCIENCES SWAMI RAMANAND TEERTH MARATHWADA UNIVERSITY NANDED-431606, INDIA
  • 2 DEPARTMENT OF MATHEMATICS DR. BABASAHEB AMBEDKAR MARATHWADA UNIVERSITY AURANGABAD-431004, INDIA

Abstract

In the present paper, we investigate the qualitative properties such as existence, uniqueness and continuous dependence on initial data of mild solutions of first and second order nonlocal semilinear functional differential equations with delay in Banach spaces. Our analysis is based on semigroup theory and modified version of Banach contraction theorem.

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