Index of solution set for perturbed Fredholm equations and existence of periodic solutions for delay differential equations

Vladimir T. Dmitrienko; Viktor G. Zvyagin

doi:tmna/1475266272

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2003 Index of solution set for perturbed Fredholm equations and existence of periodic solutions for delay differential equations

Vladimir T. Dmitrienko, Viktor G. Zvyagin

Topol. Methods Nonlinear Anal. 21(1): 53-80 (2003).

Abstract

We consider the index of the solution set of Fredholm equations with $f$-condensing type perturbations. This characteristic is applied to the existence of periodic solutions for delay differential equations.

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Vladimir T. Dmitrienko. Viktor G. Zvyagin. "Index of solution set for perturbed Fredholm equations and existence of periodic solutions for delay differential equations." Topol. Methods Nonlinear Anal. 21 (1) 53 - 80, 2003.