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On nonlinear functional parabolic equations with state-dependent delays of Volterra type. (English) Zbl 1263.35214

Summary: We consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown.

MSC:

35R10 Partial functional-differential equations
35K59 Quasilinear parabolic equations
35K99 Parabolic equations and parabolic systems