| Title |
Eigenvalue problem for differential equations with non-local and transmission boundary conditions / |
| Translation of Title |
Tikrinių reikšmių uždavinys diferencialinėms lygtims su nelokaliosiomis ir perkelties kraštinėmis sąlygomis. |
| Authors |
Šėporaitis, Povilas |
| Full Text |
|
| Pages |
42 |
| Keywords [eng] |
Eigenvalue problem, non-local boundary conditions, transmission conditions, tikrinių reikšmių uždavinys, nelokaliosios kraštinės sąlygos, perkelties sąlygos |
| Abstract [eng] |
In this work we analyze the eigenvalues and eigenfunctions of a second-order ordinary differential equation with classical, non-local and transmission conditions. We present a solution method for the problem as well as the conditions that need to be satisfied by the eigenvalues. We provide both analytic and geometric methods to analyze the eigenvalues. In the literature review we give a few examples of problems with non-local boundary conditions encountered in the natural sciences and engineering, as well as present classical, non-local, transmission conditions and their problems. The novelty of the work is in the combination of both transmission and non-local boundary conditions in the problem, as well as a geometric method to analyze the eigenvalues. |
| Dissertation Institution |
Vilniaus universitetas. |
| Type |
Master thesis |
| Language |
English |
| Publication date |
2024 |
