Published: 2014-09-30
Language: EN

Existence of generalized, positive and periodic solutions for some differential equations of order II

Jan Ligęza

Abstract

We study the existence of positive periodic solutions of the equations
y''(x) - P'(x)y(x) + μQ'(x)f(x,y(x)) = 0,
y''(x) + P'(x)y(x) = μQ'(x)f(x,y(x)),
where μ>0, P and Q are real nondecreasing functions, P' and Q' are 1-periodic distributions, f is a continuous function and 1-periodic in the first variable. The Krasnosielski fixed point theorem on cone is used.

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Citation rules

Ligęza, J. (2014). Existence of generalized, positive and periodic solutions for some differential equations of order II. Annales Mathematicae Silesianae, 28, 59–86. Retrieved from https://trrest.vot.pl/ojsus/index.php/AMSIL/article/view/13991

Domyślna okładka

Vol. 28 (2014)
Published: 2014-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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