This paper studies the existence of symmetric positive solutions for a second-order nonlinear ordinary differential equation with integral boundary conditions by applying the theory of fixed point index in cones. For the demonstration of the results, an illustrative example is presented.
✦ LIBER ✦
Existence of nontrivial solutions for a nonlinear Sturm–Liouville problem with integral boundary conditions
✍ Scribed by Zhilin Yang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 231 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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The inverse problem of the scattering theory for Sturm-Liouville operator on the half line with boundary condition depending quadratic on the spectral parameter is considered. Scattering data are defined, some properties of the scattering data are examined, the main equation is obtained, solvability