Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 288-293
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Ya. T. Sultanaev; R. T. Islamova. Study of the Equation of Partial Waves with Rapidly Oscillating Potential. Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 288-293. http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a11/
@article{MZM_2006_79_2_a11,
author = {Ya. T. Sultanaev and R. T. Islamova},
title = {Study of the {Equation} of {Partial} {Waves} with {Rapidly} {Oscillating} {Potential}},
journal = {Matemati\v{c}eskie zametki},
pages = {288--293},
year = {2006},
volume = {79},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a11/}
}
TY - JOUR
AU - Ya. T. Sultanaev
AU - R. T. Islamova
TI - Study of the Equation of Partial Waves with Rapidly Oscillating Potential
JO - Matematičeskie zametki
PY - 2006
SP - 288
EP - 293
VL - 79
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a11/
LA - ru
ID - MZM_2006_79_2_a11
ER -
%0 Journal Article
%A Ya. T. Sultanaev
%A R. T. Islamova
%T Study of the Equation of Partial Waves with Rapidly Oscillating Potential
%J Matematičeskie zametki
%D 2006
%P 288-293
%V 79
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a11/
%G ru
%F MZM_2006_79_2_a11
In this paper, we consider the differential equation of partial waves $\psi''(x)+[k^2-(\lambda^2-1/4)/x^2-V(x)]\psi(x)=0$ and the corresponding integral equations. We obtain estimates for the solutions of this differential equation with boundary conditions for $x=0$ and $x=\infty$. The analitycity domains for the wave functions are established.
