A Local Existence Theorem for Nonlinear Perturbed Abstract Measure Integrodifferential Equations


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Authors

  • Bapurao C. Dhage ``Kasubai, Gurukul Colony, Thodga Road, Ahmedpur, Latur, Maharashtra, India
  • Sidheshwar S. Bellale Department of Mathematics, Dayanand science College, Latur, Maharashtra, India

Keywords:

Abstract measure integrodifferential equation, Relevance theorem, Dhage fixed point principle, Existence theorem

Abstract

In this paper, we prove the relevance and the local existence theorems for a class of nonlinear perturbed abstract measure integrodifferential equations via classical hybrid fixed point theorem of Dhage (2003) under weaker Lipschitz and Carath\'eodory conditions. Our natural hypotheses and claims have also been illustrated with a numerical example.

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Published

15-03-2020

How to Cite

Bapurao C. Dhage, & Sidheshwar S. Bellale. (2020). A Local Existence Theorem for Nonlinear Perturbed Abstract Measure Integrodifferential Equations. International Journal of Mathematics And Its Applications, 8(1), 149–160. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/187

Issue

Vol. 8 No. 1 (2020)

Section

Research Article

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