Existence of global solutions to nonlinear mixed-type functional differential equations

Druh výsledku
článek v časopise ve Web of Science, Jimp
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The paper considers systems of nonlinear mixed-type functional differential equations. It aims to find conditions for the existence of global solutions with graphs staying in a prescribed domain. A relevant result is proved by Schauder–Tychonoff fixed-point technique with illustrative examples shown. A linear variant of the
derived result is formulated, comparisons with known results are discussed and some open problems are formulated.

Klíčová slova
Global solution
Mixed-type functional differential equation
Advance-delay functional differential equation
Schauder–Tychonoff fixed point theorem