Liapunov functionals and periodicity in a system of nonlinear integral equations

Bo Zhang, Fayetteville State University, North Carolina, U.S.A.

E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 32., pp. 1-15.

Abstract: In this paper, we construct a Liapunov functional for a system of nonlinear integral equations. From that Liapunov functional we are able to establish the existence of periodic solutions to the system by applying some well-known fixed point theorems for the sum of a nonlinear contraction mapping and compact operator.

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