Results 81 to 90 of about 567,385 (243)
A Sturm–Liouville theorem for quadratic operator pencils
Journal of Differential Equations, 2020 We establish a Sturm{Liouville theorem for quadratic operator pencils counting their unstable real roots, with applications to stability of waves. Such pencils arise, for example, in reduction of eigenvalue systems to higher-order scalar problems.
Sukhtayev, Alim, Zumbrun, Kevin
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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
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On spectra of quadratic operator pencils with rank one gyroscopic linear part [PDF]
Opuscula Mathematica, 2018 The spectrum of a selfadjoint quadratic operator pencil of the form \(\lambda^2M-\lambda G-A\) is investigated where \(M\geq 0\), \(G\geq 0\) are bounded operators and \(A\) is selfadjoint bounded below is investigated.
Olga Boyko +2 more
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Sturm-Liouville Problems and Hammerstein Operators
Journal of Integral Equations and Applications, 1992 This work is concerned with a study of nonreal eigenvalues of the Sturm- Liouville equation (1) \(-y''+q(x)y=\lambda w(x)y\), \(y(a)=y(b)=0\) where \(w\) as a weight takes positive values as well as negative values in the sets of positive Lebesgue measure.
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Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai +3 more
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Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation
Advanced Science, Volume 13, Issue 17, 23 March 2026.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
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper the question on unconditional basicity of the system of eigenfunctions of the involutive perturbed Sturm-Liouville operator is investigated.
A.A. Sarsenbi
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Scattering theory for difference equations with operator coefficients
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.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
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The computation of eigenvalues of singular Sturm–Liouville operators
Advances in Applied Mathematics, 2007 An effective way is given to approximate eigenvalues of a singular Sturm-Liouville boundary problem for operators which are relatively bounded perturbations of a known operator.
Amin Boumenir, Vu Kim Tuan
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Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.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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