Results 81 to 90 of about 262 (118)

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.   +2 more
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Conformable fractional Sturm‐Liouville equation

Mathematical Methods in the Applied Sciences, 2019
In this article, we discuss a conformable fractional Sturm‐Liouville boundary‐value problem. We prove an existence and uniqueness theorem for this equation and formulate a self‐adjoint boundary value problem. We also construct the associated Green function of this problem, and we give the eigenfunction expansions. Finally, we will give some examples.
Bilender P. Allahverdiev   +2 more
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Sturm–Liouville equations

2020
A simple example of a formally symmetric differential equation, corresponding to M being real of order two and # order zero, is given by the general Sturm–Liouville ...
Christer Bennewitz   +2 more
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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 \(
Paul Binding, Hans Volkmer
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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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Transformation of Sturm - Liouville differential equations

Functional Analysis and Its Applications, 1982
Translation from Funkts. Anal. Prilozh. 16, No.3, 42-44 (Russian) (1982; Zbl 0565.34035).
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