Some Existence Theorems for Periodic Boundary Value Problem of First Order Delay Differential Equation
Keywords:Periodic Boundary Value Problem; Delay Differential Equation; Upper and Lower Solution.
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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