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- Title
Scattering properties of the nonlinear eigenvalue‐dependent Sturm‐Liouville equations with sign‐alternating weight and jump condition.
- Authors
Coskun, Nimet
- Abstract
This paper aims to investigate the scattering function and discrete spectrum of the impulsive Sturm‐Liouville type differential operator with a turning point and nonlinear eigenparameter‐dependent boundary condition. Using hyperbolic type representations of the fundamental solutions, the operator's discrete spectrum was constructed. We presented asymptotic equations for the fundamental solutions and the Jost function. Finally, we stated an example to demonstrate the paper's major points.
- Subjects
STURM-Liouville equation; DIFFERENTIAL operators; RESOLVENTS (Mathematics); SCATTERING (Mathematics)
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 8, p6830
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9351