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