Results 31 to 40 of about 465 (169)
Boundary Value Problems, 2023 This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs).
Jie Liu, Siyu Sun, Zhibo Cheng
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Sturm-Liouville difference equations having Bessel and hydrogen atom potential type
Open Physics, 2018 In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal +2 more
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Spectral analysis of the matrix Sturm–Liouville operator
Boundary Value Problems, 2019 The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
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Coincidence Theory of a Nonlinear Periodic Sturm–Liouville System and Its Applications
Axioms, 2022 Based on the second derivative, this paper directly establishes the coincidence degree theory of a nonlinear periodic Sturm–Liouville (SL) system. As applications, we study the existence of periodic solutions to the S–L system with some special nonlinear
Kaihong Zhao
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On the existence of generalised syzygies in the planar three-body problem
Comptes Rendus. Mathématique, 2023 We consider the Newtonian planar three-body problem. One defines a generalised syzygy as a configuration where the three bodies or their velocities become collinear.
Tsygvintsev, Alexei
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Study on Infinitely Many Solutions for a Class of Fredholm Fractional Integro-Differential System
Fractal and Fractional, 2022 This paper deals with a class of nonlinear fractional Sturm–Liouville boundary value problems. Each sub equation in the system is a fractional partial equation including the second kinds of Fredholm integral equation and the p-Laplacian operator ...
Dongping Li, Yankai Li, Fangqi Chen
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Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper investigates solutions for subquadratic convex or $B$-concave operator equations. First, some existence results are obtained by the index theory and the critical point theory.
Mingliang Song
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Abstract and Applied Analysis, 2014 The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained.
Yu Tian, Dongpo Sun
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Wasit Journal for Pure Sciences: In this study, we provide an overview of the Sturm-Liouville operator’s spectral theory on a finite interval. Also, we study the main spectral characteristics for the second-order differential operator, and we show that the eigenvalues and ...
khelan hussien
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A counterexample in Sturm–Liouville completeness theory
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004 We give an example of an indefinite weight Sturm-Liouville problem whose eigenfunctions form a Riesz basis under Dirichlet boundary conditions but not under anti-periodic boundary conditions.
Binding, Paul, Ćurgus, Branko
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