Vol. 22 No. Special Issue (2023): Mapana Journal of Sciences- RECENT DEVELOPMENTS IN PURE AND APPLIED MATHEMATICS
Research Articles

Some Existence Theorems for Periodic Boundary Value Problem of First Order Delay Differential Equation

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  • Heramb Aiya Smita Aiya,
  • Y. S. Valaulikar
Heramb Aiya Smita Aiya
GOA UNIVERSITY
DOI: https://doi.org/10.12723.mjs/sp1.2

Published 2023-07-19

Keywords

  • Periodic Boundary Value Problem; Delay Differential Equation; Upper and Lower Solution.

Copyright (c) 2023

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Abstract

In this paper we establish existence results for periodic boundary value problem of first order delay differential equation using Leray - Schauder alternative and Schauder’s fixed point theorem. We define lower and upper solutions to establish existence of solution between them. Further we define strict lower and upper solutions for the problem to establish existence of solution strictly between the two.

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