http://hdl.handle.net/20.500.12128/1491
Title: | Existence of generalized, positive and periodic solutions for some differential equations of order II |
Authors: | Ligęza, Jan |
Keywords: | positive; periodic solutions; cone; distributions; Krasnosielski fixed point theorem; Green function |
Issue Date: | 2014 |
Citation: | "Annales Mathematicae Silesianae" Nr 28 (2014), s. 59-86 |
Abstract: | We study the existence of positive periodic solutions of the equations y00(x) − P0(x)y(x) + μQ0(x)f(x, y(x)) = 0, y00(x) + P0(x)y(x) = μQ0(x)f(x, y(x)), where μ > 0, P and Q are real nondecreasing functions, P0 and Q0 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. |
URI: | http://hdl.handle.net/20.500.12128/1491 |
ISSN: | 0860-2107 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Ligeza_Existence_of_generalized_positive_and_periodic_solutions_for_some_differential_equations_of_order.pdf | 739,57 kB | Adobe PDF | View/Open |
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