Results 11 to 20 of about 346 (179)
Relative oscillation theory for Sturm–Liouville operators extended
Journal of Functional Analysis, 2008 We extend relative oscillation theory to the case of Sturm--Liouville operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the weighted number of zeros of Wronskians of certain solutions equals the value of Krein's spectral shift function inside essential spectral gaps.
Krüger, Helge, Teschl, Gerald
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Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation. [PDF]
Adv Sci (Weinh)Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Na X +6 more
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On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials
Mathematics, 2020 Using the Sturm–Liouville theory in q-difference spaces, we prove the finite orthogonality of q-Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.
Mohammad Masjed-Jamei +3 more
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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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