Derivation of spectral data asymptotics for the third-oder and fourth-order differential operators

Published: 26 May 2026| Version 1 | DOI: 10.17632/g9268s8vxv.1
Contributor:
Natalia Bondarenko

Description

This data set contains the program code in Python for derivation of the asymptotic formulas for the eigenvalues and the weight numbers of linear differential operators of orders 3 and 4 by using symbolic computations based on the method from [1]. The data generated by this code are also provided. [1] Yurko, V.A. Asymptotics of solutions of differential equations with a spectral parameter, arXiv:2204.07505.

Files

Steps to reproduce

Use Python to run main3.py and main4.py

Institutions

Categories

Mathematics, Asymptotics, Ordinary Differential Operator, Spectral Theory, Symbolic Computation

Funders

Related Links

Article
https://doi.org/10.48550/arXiv.2204.07505
is related to this dataset

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