On the Coersive Solution of a Defective Boundary Value Problem
Abstract
ABSTRACT This study addresses boundary value problems for third‐order linear ordinary differential equations with recurring characteristics. By analyzing the principal determinant formed by the boundary conditions, it is shown that the problem is regularly defined with defects within a specific spectral angle; furthermore, the existence of a coercive solution in suitable function spaces for the corresponding non‐homogeneous boundary value problem is proven. The results contribute to the theory of boundary value problems with recurring characteristics and offer methods that can be applied to more general classes of such problems.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Nonlinear Differential Equations Analysis
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 9
- Pages
- 9206–9218
- Publication date
- 26 January 2026
- Language
- EN