Results 61 to 70 of about 112,931 (232)
Integral equation for numerical solution of stationary quantum-mechanical problems
Advanced Engineering Research, 2016 The work objective is to describe the numerical solution method for the stationary Schrödinger equation based on the application of the integral equation identical to the Schrödinger equation.
Sergey Yu. Knyazev
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Recovery of an initial temperature of a one-dimensional body from finite time-observations
Mathematics in Applied Sciences and Engineering, 2023 Under the Dirichlet boundary setting, Aryal and Karki (2022) studied an inverse problem of recovering an initial temperature profile from known temperature measurements at a fixed location of a one-dimensional body and at linearly growing finitely many ...
Ramesh Karki, Chava Shawn, Young You
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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Solving eigenvalues problems for Helmholtz equation by point-source method
Advanced Engineering Research, 2016 A method of problem solution of the eigenvalues and eigenfunctions for the Helmholtz equation in the domains with arbitrary configuration is worked out.
Elena E. Shcherbakova
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
A selfadjoint hyperbolic boundary-value problem
Electronic Journal of Differential Equations, 2003 We consider the eigenvalue wave equation $$u_{tt} - u_{ss} = lambda pu,$$ subject to $ u(s,0) = 0$, where $uinmathbb{R}$, is a function of $(s, t) in mathbb{R}^2$, with $tge 0$.
Nezam Iraniparast
doaj
Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]
Opuscula Mathematica, 2013 It is shown that any \(\mu \in \mathbb{C}\) is an infinite multiplicity eigenvalue of the Steklov smoothing operator \(S_h\) acting on the space \(L^1_{loc}(\mathbb{R})\).
Serguei I. Iakovlev, Valentina Iakovleva
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Физика волновых процессов и радиотехнические системы, 2023 The article is devoted to the analysis of electrodynamic properties elliptical frame structure. Taking into account double symmetry internal problem of electrodynamics for the structure under consideration in the framework of the thin-wire approximation ...
Dmitry P. Tabakov, Andrey G. Mayorov
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Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
, 2010 We study the one-dimensional Dirac equation with local PT-symmetric potentials whose discrete eigenfunctions and continuum asymptotic eigenfunctions are eigenfunctions of the PT operator, too: on these conditions the bound-state spectra are real and the ...
Ahmed Z +16 more
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Basis Properties of Fučík Eigenfunctions
Analysis Mathematica, 2022 We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
openaire +3 more sources