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INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2015 Subject of Research. Creation of asymptotic expansions for solutions of partial differential equations with small parameter reduces, usually, to consequent solving of the Sturm-Liouville problems chain.
A. I. Popov
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
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Computational of the eigenvalues of the fractional Sturm-Liouville problem
Қарағанды университетінің хабаршысы. Математика сериясыWe study the asymptotic distribution for eigenvalues of fourth-order fractional Sturm-Liouville with Dirichlet boundary condition. In this work, we use the inverse Laplace transform method and the Asymptotic formula of the Mittag-Leffler function to get
M. Jafari, F.D. Saei
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Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse
Abstract and Applied Analysis, 2013 In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
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Remarks on the Periodic Conformable Sturm–Liouville Problems
Complexity, 2023 The conformable Sturm–Liouville problem (CSLP), −x1−αpxx1−αy′x′=λρx−qxyx, for ...
Wei-Chuan Wang
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Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane +2 more
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Banded Matrices and Discrete Sturm-Liouville Eigenvalue Problems
Advances in Difference Equations, 2009 We consider eigenvalue problems for self-adjoint Sturm-Liouville difference equations of any even order. It is well known that such problems with Dirichlet boundary conditions can be transformed into an algebraic eigenvalue problem for a banded, real ...
Werner Kratz
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Solutions of Direct and Inverse Even-Order Sturm-Liouville Problems Using Magnus Expansion
Mathematics, 2019 In this paper Lie group method in combination with Magnus expansion is utilized to develop a universal method applicable to solving a Sturm−Liouville problem (SLP) of any order with arbitrary boundary conditions.
Upeksha Perera, Christine Böckmann
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Sturm’s Theorems for Fractal Differential Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we investigate the spectral properties of the fractal Sturm’s problem by employing the fractal derivative. We establish and prove the fractal analogues of Sturm’s separation and Sturm’s comparison theorems. Furthermore, the self‐adjointness of the corresponding fractal differential operator is demonstrated.
Mehmet Kocabiyik, Özcan Gelişgen
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Some notes on conformable fractional Sturm–Liouville problems
Boundary Value Problems, 2021 The conformable fractional eigenvalue problem − D x α D x α y + q ( x ) y = λ ρ ( x ) y $$\begin{aligned} -D_{x}^{\alpha }D_{x}^{\alpha }y+q(x)y=\lambda \rho (x)y \end{aligned}$$ is considered.
Wei-Chuan Wang
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