On the existence of solutions of the differential equation with advanced argument

Zofia Muzyczka

Published: 1985-09-30

Vol. 1 (1985)

On the existence of solutions of the differential equation with advanced argument

Zofia Muzyczka

Abstract

In this paper the differential-functional equation
ϕ'(t) = f(t,ϕ), t∈R⁺
ϕ(0) = η
with an unbounded advanced argument is discovered. Under suitable assumptions, using Schauder Fixed Point Principle, a theorem on existence of solutions in a special functional-space is proved.

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Muzyczka, Z. (1985). On the existence of solutions of the differential equation with advanced argument. Annales Mathematicae Silesianae, 1, 89–92. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14338

Vol. 1 (1985)
Published: 1985-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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