CONSTRUCTION OF GREEN FUNCTION FOR
BESSEL-HELMHOLTZ EQUATION
Javanshir J. Hasanov1, Rabil Ayazoglu (Mashiyev)2
Lale R. Aliyeva3
1Azerbaijan State Oil and Industry University
Azadlig Av. 20, Baku, AZ 1601, AZERBAIJAN
and
Institute of Mathematics and Mechanics
B. Vahabzadeh Str. 9, Baku, AZ 1141, AZERBAIJAN
2Department of Mathematics Education
Faculty of Education Bayburt University
Bayburt, TURKEY
3Institute of Mathematics and Mechanics
B. Vahabzadeh Str. 9, Baku, AZ 1141, AZERBAIJAN

Abstract

In this paper we construct the Green function for a boundary value problem

\begin{displaymath} (\Delta_{B_n}+k^2)u(k,x,y)=f(x,y), \end{displaymath}


\begin{displaymath} \left.u(k,x,y)\right\vert _\Gamma=0, \end{displaymath}

and prove that the limit absorption principle holds for it.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 29
Issue: 5
Year: 2016

DOI: 10.12732/ijam.v29i5.2

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