Stuart Charles A.: Qualitative properties and global bifurcation of solutions for a singular boundary value problem. (2020)
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Abstract
This paper deals with a singular, nonlinear Sturm–Liouville problem of the form {A(x)u 0 (x)} 0 + λu(x) = f(x, u(x), u 0 (x)) on (0, 1) where A is positive on (0, 1] but decays quadratically to zero as x approaches zero. This is the lowest level of degeneracy for which the problem exhibits behaviour radically different from the regular case. In this paper earlier results on the existence of bifurcation points are extended to yield global information about connected components of solutions.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 90 |
| ISSN: | 1417-3875 |
| Number of Pages: | 36 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2020.1.90 |
| Uncontrolled Keywords: | Differenciálegyenlet - határérték probléma, Bifurkáció |
| Additional Information: | Bibliogr.: p. 34-36. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 05. 15:44 |
| Last Modified: | 2021. Nov. 05. 15:44 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73651 |
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