Results 11 to 20 of about 13,845 (157)

Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation. [PDF]

open access: yesAdv 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
europepmc   +2 more sources

On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials

open access: yesMathematics, 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
doaj   +1 more source

Boundary value problems of quaternion-valued differential equations: solvability and Green’s function

open access: yesBoundary 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
doaj   +1 more source

Sturm-Liouville difference equations having Bessel and hydrogen atom potential type

open access: yesOpen 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
doaj   +1 more source

Sturm-Liouville Estimates for the Spectrum and Cheeger Constant [PDF]

open access: yes, 2014
Buser's inequality gives an upper bound on the first non-zero eigenvalue of the Laplacian of a closed manifold M in terms of the Cheeger constant h(M). Agol later gave a quantitative improvement of Buser's inequality.
Benson, Brian
core   +2 more sources

Spectral analysis of the matrix Sturm–Liouville operator

open access: yesBoundary 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
doaj   +1 more source

Coincidence Theory of a Nonlinear Periodic Sturm–Liouville System and Its Applications

open access: yesAxioms, 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
doaj   +1 more source

On the existence of generalised syzygies in the planar three-body problem

open access: yesComptes 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
doaj   +1 more source

Study on Infinitely Many Solutions for a Class of Fredholm Fractional Integro-Differential System

open access: yesFractal 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
doaj   +1 more source

Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x [PDF]

open access: yes, 2007
We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. To this expression there is naturally a self-adjoint operator in some Krein space associated.
Karabash, I., Trunk, C.
core   +2 more sources

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