Measure pseudo affine-periodic solutions of semilinear differential equations
Abstract
In this paper, we introduce the concept of pseudo affine-periodic functionvia measure theory, that is measure pseudo $(Q, T)$-affine-periodic function.Existence, uniqueness of measure pseudo $(Q, T)$-affine-periodic solutionfor semilinear differential equations are investigated.The working tools are based on the Banach contraction mapping principleand Leray-Schauder alternative theorem.Finally, an example is presented to illustrate the main findings.
Keywords
Measure pseudo affine-periodic function, measure theory, exponential dichotomy, Banach contraction mapping principle, Leray-Schauder alternative theorem
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)