Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation
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 ...
Xin Na +6 more
wiley +1 more source
Scattering theory for difference equations with operator coefficients
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
wiley +1 more source
Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]
In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting +1 more
core +1 more source
On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator
We study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment [0, 1]. All possible types of two-point boundary conditions are considered.
Alexander S. Makin
doaj +1 more source
Analytic investigation of rotating holographic superconductors
In this paper we have investigated, in the probe limit, s-wave holographic superconductors in rotating $$AdS_{3+1}$$ AdS3+1 spacetime using the matching method as well as the Stürm–Liouville eigenvalue approach.
Ankur Srivastav, Sunandan Gangopadhyay
doaj +1 more source
Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
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Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
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ASSOCIATED FUNCTIONS OF NON-SELFADJOINT STURM-LIOUVILLE OPERATOR WITH OPERATOR COEFFICIENT
Sturm-Liouville operator equation with selfadjoint operator coefficent has been studied in detail. In this paper, we consider the Sturm-Liouville operator equation with non-selfadjoint operator coefficent.
MUTLU, GÖKHAN
core
Reconstruction of the Volterra-type integro-differential operator from nodal points
In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).
Baki Keskin
doaj +1 more source
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
wiley +1 more source

