Inverse Nodal Problems for Sturm–Liouville Equation With Non‐Separated Boundary and Discontinuity Conditions

ABSTRACT In this research, the inverse nodal problem is investigated for second‐order differential operators defined on a finite interval, incorporating discontinuity conditions within the interval. For each point of discontinuity , the existence of a solution to the inverse nodal problem is established, and a constructive method for determining the solution is presented.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-12-09
DOI
https://doi.org/10.1002/mma.70414
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

Inverse Nodal Problems for Sturm–Liouville Equation With Non‐Separated Boundary and Discontinuity Conditions

Merve Arslantaş
Mathematical Methods in the Applied Sciences
Spectral Theory in Mathematical Physics
article

Inverse Nodal Problems for Sturm–Liouville Equation With Non‐Separated Boundary and Discontinuity Conditions

Merve Arslantaş
article en

Abstract

ABSTRACT In this research, the inverse nodal problem is investigated for second‐order differential operators defined on a finite interval, incorporating discontinuity conditions within the interval. For each point of discontinuity , the existence of a solution to the inverse nodal problem is established, and a constructive method for determining the solution is presented.

Mathematical Methods in the Applied Sciences
Sivas Cumhuriyet Üniversitesi (TR)
Openalex Percentile: Top 56%
Spectral Theory in Mathematical Physics
DOISourceOpenAlex
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Inverse Nodal Problems for Sturm–Liouville Equation With Non‐Separated Boundary and Discontinuity Conditions — Merve Arslantaş · Mathematical Methods in the Applied Sciences (2025) | TGRS Research Map | TGRS