Periodic Solutions of Singular Integral Equations
Document Type
Article
Publication Date
6-20-2011
Abstract
We consider a scalar integral equation x(t) = a(t) - ?- ?t C{t, s)g(s, x(s))ds in which C(t, s) has a singularity at t = s. There are periodic assumptions on a, C, and g. First we prove a fixed point theorem of the Krasnoselskii-Schaefer type. We then construct a Liapunov functional which allows us to satisfy the conditions of the fixed point theorem and to prove that there is a periodic solution © 2011 InforMath Publishing Group.
Recommended Citation
Burton, T. A. and Zhang, B., "Periodic Solutions of Singular Integral Equations" (2011). College of Health, Science, and Technology. 923.
https://digitalcommons.uncfsu.edu/college_health_science_technology/923
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