Existence of Generalized, Positive and Periodic Solutions for Some Differential Equations of Order II

• Autorzy: Jan Ligęza
• Języki publikacji: EN

Abstrakty

EN

We study the existence of positive periodic solutions of the equations $$y''(x) - P'(x)y(x) + \mu Q'(x)f(x, y(x)) = 0,$$ $$y''(x) + P'(x)y(x) = \mu Q'(x)f(x, y(x)),$$ where $\mu > 0$, $P$ 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. (original abstract)

Słowa kluczowe

EN

Mathematics; Differential equations

PL

Matematyka; Równania różniczkowe

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2014
• Tom: 28
• Strony: 59--86

Twórcy

autor

Jan Ligęza

• University of Silesia in Katowice, Poland

Bibliografia

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