Results 151 to 160 of about 14,640 (198)

Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation

Complex Analysis and Operator Theory, 2021
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Ferreira, M., Rodrigues, M. Manuela, Vieira, Nelson   +2 more
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Spectral Asymptotics for Sturm-Liouville Equations

Proceedings of the London Mathematical Society, 1989
The author gives a detailed interesting survey on asymptotic formulas for various spectral characteristics of the general Sturm-Liouville problem \(-(pu')'+qu=\lambda wu\) under very mild conditions on the coefficients p,q, and w. Such spectral quantities are, for instance, the eigenvalue distribution, Green's function, the spectral function, and the ...
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Eigencurves for Two-Parameter Sturm-Liouville Equations

SIAM Review, 1996
The authors study the two-parameter Sturm-Liouville eigenvalue problem \[ -(p(x)y')'+q(x)y=(\lambda r(x)+ \mu)y,\quad a\leq x\leq b \] with separated boundary conditions \[ \cos(\alpha)y(a)-\sin(\alpha)p(a)y'(a)= 0, \qquad \cos(\beta)y(b)-\sin(\beta)p(b)y'(b)=0, \] where \(p(x)\) is continuously differentiable and positive on \([a,b]\), and \(q\) and \(
Binding, Paul, Volkmer, Hans
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Transformation of Sturm - Liouville differential equations

Functional Analysis and Its Applications, 1983
Translation from Funkts. Anal. Prilozh. 16, No.3, 42-44 (Russian) (1982; Zbl 0565.34035).
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Fractional Sturm–Liouville Equations: Self-Adjoint Extensions

Complex Analysis and Operator Theory, 2018
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Niyaz Tokmagambetov, Berikbol T. Torebek
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Left-definite Sturm–Liouville equations

2020
For this to be possible one needs some positivity in the problem, usually that some linear combination of the Hermitian forms is positive.
Christer Bennewitz, Malcolm Brown, Rudi Weikard   +2 more
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Preliminaries on Sturm-Liouville Equations

2020
We will consider the second-order linear ordinary differential equation $$\displaystyle -y^{\prime \prime }+q(x)y=\lambda y $$ on a finite or infinite interval. This equation is called the Sturm-Liouville equation, or often the one-dimensional Schro dinger equation .
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The Sturm–Liouville Equation

2006
Abstract This chapter concerns the homogeneous equation where p : [a, b] → ℝ is continuously differentiable, q : [a, b] → ℝ and ⍴: [a, b] → ℝ are continuous, p(x) > 0 and ⍴(x) > 0, for all x in [a, b], and λ is a real constant.
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The Periodic Sturm–Liouville Equations

2017
We begin with a brief introduction the periodic Sturm–Liouville equations \([p(x)y'(x)]' + [\lambda w(x) - q(x)] y(x) = 0\). After reviewing some elementary knowledge of the theory of a general class of second-order linear homogeneous ordinary differential equations, we introduce two basic Sturm theorems on the zeros of solutions of the equations. Then,
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Sufficient oscillation conditions for the Sturm–Liouville equation

Differential Equations, 2017
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Bilal, Sh., Dzhenaliev, M. T.
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