Finding the Fixed Points Inside Large Mapping Sets: Integral Equations

Finding the Fixed Points Inside Large Mapping Sets: Integral Equations

Let xf(t,x) > 0 for x 6= 0 and let A(t−s) satisfy some classical properties yielding a nice resolvent. Using repeated application of a fixed point mapping and induction we develop an asymptotic formula showing that solutions of the Caputo equation cDqx(t) = −f(t,x(t)), 0 < q < 1, x(0) ∈<,...

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Bibliographic Details
Main Authors: Theodore A. Burton, Ioannis K. Purnaras
Format: Article
Language:English
Published: ATNAA 2017-08-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
compact maps
repeated mappings
integral equations
fixed points
limit sets
Online Access:http://dergipark.gov.tr/download/article-file/596089

Internet

http://dergipark.gov.tr/download/article-file/596089

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