Existence and uniqueness of positive even homoclinic solutions for second order differential equations

Daouas Adel and Boujlida Monia: Existence and uniqueness of positive even homoclinic solutions for second order differential equations. (2019)

[thumbnail of ejqtde_2019_045.pdf]
Preview
Cikk, tanulmány, mű
ejqtde_2019_045.pdf

Download (417kB) | Preview

Abstract

This paper is concerned with the existence of positive even homoclinic solutions for the p-Laplacian equation (|u 0 p−2u 0 0 − a(t)|u| p−2u + f(t, u) = 0, t ∈ R, where p ≥ 2 and the functions a and f satisfy some reasonable conditions. Using the Mountain Pass Theorem, we obtain the existence of a positive even homoclinic solution. In case p = 2, the solution obtained is unique under a condition of monotonicity on the function u 7−→ f(t,u) u . Some known results in the literature are generalized and significantly improved.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 45
ISSN: 1417-3875
Page Range: pp. 1-12
DOI: 10.14232/ejqtde.2019.1.45
Uncontrolled Keywords: Másodrendű differenciálegyenlet
Additional Information: Bibliogr.: p. 10-12. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 30. 07:44
Last Modified: 2021. Sep. 16. 10:42
URI: http://acta.bibl.u-szeged.hu/id/eprint/62123

Actions (login required)

View Item View Item