On the global existence of mild solutions of nonlinear delay systems associated with continuous and analytic semigroups

M. Medved, Comenius University, Bratislava, Slovakia

E. J. Qualitative Theory of Diff. Equ., Proc. 8'th Coll. Qualitative Theory of Diff. Equ., No. 13. (2008), pp. 1-10.

Abstract: In this paper we prove sufficient conditions for the existence of global solutions of nonlinear functional-differential evolution equations whose linear parts are infinitesimal generators of strongly continuous and analytic semigroups. We apply the obtained results to a diffusion problem.

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