Ahmed Ghatasheh

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20172024

most citedSpectral Theory for Systems of Ordinary Differential Equations with Distributional Coefficients

20 citations · 25 across the 5 of their papers we have counts for

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math.CA2019

Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients

Ahmed Ghatasheh, Rudi Weikard

In this paper we investigate sign-changing points of nontrivial real-valued solutions of homogeneous Sturm-Liouville differential equations of the form $- d (d u / d α) + u d β = 0$ , where $dα…

math.CA2018★ 20 cited

Spectral Theory for Systems of Ordinary Differential Equations with Distributional Coefficients

Ahmed Ghatasheh, Rudi Weikard

We study the spectral theory for the first-order system $J u^{'} + q u = w f$ of differential equations on the real interval $(a, b)$ when $J$ is a constant, invertible skew-Hermitian matrix…

math.CA2017★ 5 cited

On Leighton's Comparison Theorem

Ahmed Ghatasheh, Rudi Weikard

We give a simple proof of a fairly flexible comparison theorem for equations of the type $- (p (u^{'} + s u))^{'} + r p (u^{'} + s u) + q u = 0$ on a finite interval where $1/ p$ , $r$ , $s$ , and $q$ are real…