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Wave Equation for Sturm–Liouville Operator with Singular Intermediate Coefficient and Potential [PDF]

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2023
In this paper, we consider a wave equation on a bounded domain with a Sturm–Liouville operator with a singular intermediate coefficient and a singular potential. To obtain and evaluate the solution, the method of separation of variables is used, then the
Michael Ruzhansky, Alibek Yeskermessuly
exaly   +12 more sources

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
openaire   +4 more sources

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
openaire   +1 more source

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
openaire   +4 more sources

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
openaire   +3 more sources

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