A note on the existence of solutions to some nonlinear functional integral equations

I. K. Purnaras, University of Ioannina, Ioannina, Greece

E. J. Qualitative Theory of Diff. Equ., No. 17. (2006), pp. 1-24.

Communicated by T. A. Burton. Received on 2006-08-17
Appeared on 2006-10-24

Abstract: Substituting the usual growth condition by an assumption that a specific initial value problem has a maximal solution, we obtain existence results for functional nonlinear integral equations with variable delay. Application of the technique to initial value problems for differential equations as well as to integrodifferential equations are given.


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