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On partial fractional Sturm–Liouville equation and inclusion [PDF]
Advances in Difference Equations, 2021 The Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive ...
Zohreh Zeinalabedini Charandabi +3 more
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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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Axioms, 2021 The Sturm–Liouville differential equation is an important tool for physics, applied mathematics, and other fields of engineering and science and has wide applications in quantum mechanics, classical mechanics, and wave phenomena.
Mohadeseh Paknazar, Manuel De La Sen
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The Borg’s Theorem for Singular Sturm-Liouville Problem with Non-Separated Boundary Conditions [PDF]
Mathematics Interdisciplinary Research, 2023 In this paper, we consider a Sturm-Liouville equation with non-separated boundary conditions on a finite interval. We discuss some properties of solutions of the Sturm-Liouville equation, where the potential function has a singularity in the ...
Maedeh Bagherzadeh, Abdolali Neamaty
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Research on singular Sturm–Liouville spectral problems with a weighted function
Boundary Value Problems, 2022 As early as 1910, Weyl gave a classification of the singular Sturm–Liouville equation, and divided it into the Limit Point Case and the Limit Circle Case at infinity. This led to the study of singular Sturm–Liouville spectrum theory. With the development
Shuning Tang
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On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023 In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line.
Döndü Nurten Cücen, Anar Adiloğlu
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A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
Journal of Function Spaces, 2021 In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
Boundary Value Problems, 2008 Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values.
Chein-Shan Liu
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On an Integral Equation with the Riemann Function Kernel
Axioms, 2022 This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations ...
Sergei Sitnik, Abdul Ahad Arian
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Boundary Value Problems, 2021 In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems.
Zihan Li, Xiao-Bao Shu, Tengyuan Miao
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