Results 31 to 40 of about 5,326 (220)
An extension of Milloux's theorem to half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 A theorem of Milloux (1934) concerning the Sturm-Liouville differential equations is extended to the so-called half-linear differential equations.
Á. Elbert, F. V. Atkinson
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On Sturm–Liouville equations with several spectral parameters [PDF]
Boletín de la Sociedad Matemática Mexicana, 2015 We give explicit formulas for a pair of linearly independent solutions of $(py')'(x)+q(x)=(λ_1r_1(x)+\cdots+λ_dr_d(x))y(x)$, thus generalizing to arbitrary $d$ previously known formulas for $d=1$. These are power series in the spectral parameters $λ_1,\dots,λ_d$ (real or complex), with coefficients which are functions on the interval of definition of ...
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Fractional Sturm–Liouville equations : self-adjoint extensions
, 2019 In this report we study a fractional analogue of Sturm-Liouville equation. A class of self-adjoint fractional Sturm-Liouville operators is described. We give a biological interpretation of the fractional order equation and nonlocal boundary conditions ...
Tokmagambetov, Niyaz, Torebek, Berikbol
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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
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On a fractional hybrid version of the Sturm–Liouville equation [PDF]
Advances in Difference Equations, 2020 AbstractIt is well known that the Sturm–Liouville equation has many applications in different areas of science. Thus, it is important to review different versions of the well-known equation. The technique of α-admissible α-ψ-contractions was introduced by Samet et al. in (Nonlinear Anal. 75:2154–2165, 2012).
Zohreh Zeinalabedini Charandabi +2 more
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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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On an inverse problem for Sturm-Liouville equation
, 2016 In this study, the theorem on necessary and sufficient conditions for the solvability of inverse problem for Sturm-Liouville operator with discontinuous coefficient is proved and the algorithm of reconstruction of potential from spectral data (eigenvalues and normalizing numbers) is given.
Karahan, Done, Mamedov, Khanlar R.
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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On Disconjugacy for Sturm-Liouville Difference Equations
, 1996 We derive a Reid roundabout Theorem for Sturm-liouville Difference Equations of higher order by applying general results on linear Hamiltonian Difference Systems. This theorem gives conditions that are equivalent to the positive definiteness of a certain
Bohner, Martin, Martin Bohner
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Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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