http://hdl.handle.net/20.500.12128/461
Title: | Existence of positive periodic solutions of some differential equations of order n (n>2) |
Authors: | Ligęza, Jan |
Keywords: | Positive Solutions; Boundary Value Problems; Krasnosielski Fixed Point Theorem; Green’s Function |
Issue Date: | 2009 |
Citation: | Annales Mathematicae Silesianae, Nr 23 (2009), s. 61-81 |
Abstract: | We study the existence of positive periodic solutions of the equations x(n)(t) − p(t)x(t) + μf(t, x(t), x0(t), . . . , x(n−1)(t)) = 0, x(n)(t) + p(t)x(t) = μf(t, x(t), x0(t), . . . , x(n−1)(t)), where n >= 2, μ > 0, p: (−∞,∞) -> (0, ∞) is continuous and 1–periodic, f is a continuous function and 1–periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used. |
URI: | http://hdl.handle.net/20.500.12128/461 |
ISSN: | 0860-2107 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Ligeza_Existence_of_positive_periodic_solutions.pdf | 798,67 kB | Adobe PDF | View/Open |
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