Results 31 to 40 of about 14,640 (198)

Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems

Boundary Value Problems, 2019
The present paper deals with non-real eigenvalues of regular nonlocal indefinite Sturm–Liouville problems. The existence of non-real eigenvalues of indefinite Sturm–Liouville differential equation with nonlocal potential K ( x , t ) $K(x,t)$ associated ...
Fu Sun, Kun Li, Jiangang Qi, Baochao Liao   +3 more
doaj   +1 more source

INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2015
Subject of Research. Creation of asymptotic expansions for solutions of partial differential equations with small parameter reduces, usually, to consequent solving of the Sturm-Liouville problems chain.
A. I. Popov
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New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
doaj   +1 more source

The Regulator Problem to the Convection–Diffusion Equation

Mathematics, 2023
In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
doaj   +1 more source

Eigenvalue Integro-Differential Equations for Orthogonal Polynomials on the Real Line

, 1994
The one-dimensional harmonic oscillator wave functions are solutions to a Sturm-Liouville problem posed on the whole real line. This problem generates the Hermite polynomials.
Askey R., Bender C. M., Carl M. Bender, Joshua Feinberg   +3 more
core   +1 more source

Loss of the Sturm–Liouville Property of Time-Varying Second-Order Differential Equations in the Presence of Delayed Dynamics

Mathematical and Computational Applications
This paper considers a nominal undelayed and time-varying second-order Sturm–Liouville differential equation on a finite time interval which is a nominal version of another perturbed differential equation subject to a delay in its dynamics.
Manuel De la Sen
doaj   +1 more source

Norm of iegnfunction of one-dimension photonic crystal

Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2021
Relevance. In recent decades (about the 90-s ХХ century) there has been rapid development of photonic. Thus, to arise scientific interest to optic range of electromagnetic radiation.
О. V. Kazanko, О. E. Penkina
doaj   +1 more source

Discrete Fractional Sturm-Liouville Equations

, 2017
8 ...
Bas, Erdal, Ozarslan, Ramazan
openaire   +2 more sources

Smoothness and approximative properties of solutions of the singular nonlinear Sturm-Liouville equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
It is known that the eigenvalues λn(n = 1, 2, ...) numbered in decreasing order and taking the multiplicity of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L−1 have the following property (∗) λn → 0, when n → ∞,
M.B. Muratbekov, M.M. Muratbekov
doaj   +1 more source

On the Fay identity for KdV tau functions and the identity for the Wronskian of squared solutions of Sturm-Liouville equation

, 1998
We show that the well known identity for the Wronskian of squared solutions of a Sturm-Liouville equation follows from the Fay identity. We also study some odd-order (($2^n -1$)-order, $ n = 2, 3, ...$) identities which are specific for tau functions ...
Mishev Y. P., Mishev Y. P., Wilson G., Yordan P. Mishev   +3 more
core   +1 more source