Asymptotics of solutions of the Sturm-Liouville equation in vector-function space


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Authors

  • Ya.T. Sultanaev
  • N.F. Valeev
  • A. Yeskermessuly

Keywords:

asymptotic methods, rapidly oscillating coefficients, vector-function, L-diagonal system, resonance case

Abstract

In this paper, we study the asymptotic behaviour of fundamental systems of solutions to the Sturm-Liouville equation with rapidly oscillating potentials in a two-dimensional vector-function space. We consider different cases in which the coefficients do not satisfy the regularity conditions. Additionally, we investigate the asymptotic behaviour of solutions in resonance cases.

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Published

2025-09-30

How to Cite

Sultanaev, Y., Valeev, N., & Yeskermessuly, A. (2025). Asymptotics of solutions of the Sturm-Liouville equation in vector-function space. Eurasian Mathematical Journal, 16(3), 90–101. Retrieved from https://emj.enu.kz/index.php/main/article/view/825

Issue

Vol. 16 No. 3 (2025)

Section

Articles