Results 71 to 80 of about 1,276,020 (209)
Journal of MathematicsThis paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U-H) and generalized Ulam–Hyers (G-U-H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives ...
Muthaiah Subramanian +2 more
doaj +1 more source
Weight Summability of Solutions of the Sturm–Liouville Equation
Journal of Differential Equations, 1999 Let \(G(x,t)\) be the Green function of the equation \[ -y''(x)+q(x)y(x)=f(x),\;\;x\in \mathbb{R}, \tag{1} \] with \(f(x)\in L_{p}(\mathbb{R})\), \(p\in [1,\infty]\) (\(L_{\infty}(\mathbb{R}):=C(\mathbb{R})\)) and \(1\leq q(x)\in L_{1}^{\text{loc}}(\mathbb{R})\).
Chernyavskaya, N, Shuster, L
openaire +2 more sources
Asymptotics of the solutions of the Sturm–Liouville equation with singular coefficients [PDF]
Mathematical Notes, 2015 11 pages, in Russian + supplement in ...
Shkalikov, A. A., Vladykina, V. E.
openaire +3 more sources
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
wiley +1 more source
Fractal and FractionalThe Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
doaj +1 more source
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
wiley +1 more source
Theory of a higher-order Sturm-Liouville equation
, 1997 This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity.
Kozlov, Vladimir, Maz'ya, Vladimir
core +1 more source
A high-speed method for eigenvalue problems. IV. Sturm-Liouville-type differential equations
, 2019 We present a new version MEV4 of the program package MEV3 by Milne's method generalized for the eigenvalue problem of the linear differential equation of the Sturm-Liouville-type.
T. Yano (8091596) +7 more
core +1 more source
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
wiley +1 more source
Advances in Difference Equations, 2019 We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj +1 more source