Positive solutions of fourth-order nonlinear singular Sturm–Liouville eigenvalue problems
✍ Scribed by Lishan Liu; Xinguang Zhang; Yonghong Wu
- Book ID
- 108175545
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 155 KB
- Volume
- 326
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order Sturm-Liouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order Sturm-Liouville problem
We consider the existence of positive solutions for the following fourth-order singular Sturm-Liouville boundary value problem: where g, p may be singular at t = 0 and/or 1. Moreover F(t, x) may also have singularity at x = 0. The existence and multiplicity theorems of positive solutions for the fo