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Author:Esra Kir Arpat
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2013, Vol.51 (8), pp.2196-2213Springer
Abstract:Abstract(#br)In this paper, we consider the operator $$L$$ L generated in $$L^{2}\left( \mathbb{R }_{+}\right) $$ L 2 R + by the differential expression $$\begin{aligned} l\left( y\right) =-y^{\prime \prime }+\left[ \frac{\nu ^{2}-\frac{1}{4}}{x^{2}}+q\left( x\right) \right]...
Author:Esra Kir Arpat , Gökhan Mutlu
Data Source:[J].International Journal of Mathematics(IF 0.559), 2015, Vol.26 (10)World Scientific Publishing
Abstract:In this paper, we consider the boundary value problem $$y^{\prime\prime}_{j} + \lambda^{2}y_{j} = \sum^{n}_{k = 1} V_{jk} (x) y_{k}, \quad x \in{\mathbb R}_{+} : = ( 0, \infty),$$ $$y^{\prime}_{j} (0) + (\alpha_{0} + \alpha_{1} \lambda+ \alpha_{2} \lambda^{2}) y_{j} (0) = 0,...

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