The Analysis of Properties of Solutions of BoundaryProblems for the Differential Equations of High Orders

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Abstract


The relativistic generalization of potential model of a quarkonium leads to the solution
of a spectroscopic problem for quasipotential equations. In that specific case the problem is
reduced to the investigation of a boundary problem for the ordinary differential equation of
the terminating order with arbitrary parameter at the higher derivatives. In the work the
algorithm of investigation of boundary problems for the differential equations of high orders
is offered. The algorithm is realized with the use of system of symbolical evaluations MAPLE.
It is erected, that at → 0 some solutions coincide with the solution of the nonrelativistic
Schrodinger equation. Besides, are found out, so-called frontier layer solutions; transition of
one type of the solution (for example, the solution with one junction) in to another (the
solution without junctions). Investigations of properties of eigenvalues and eigenfunctions are
carried out at various values of .

I V Amirkhanov

Joint Institute for Nuclear Research

Email: camir@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

D Z Muzafarov

Joint Institute for Nuclear Research

Email: muzafarov@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

N R Sarker

Joint Institute for Nuclear Research

Email: sarker@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

I Sarhadov

Joint Institute for Nuclear Research

Email: ibrohim@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

Z A Sharipov

Joint Institute for Nuclear Research

Email: zarif@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

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Copyright (c) 2010 Амирханов И.В., Музафаров Д.З., Саркар Н.Р., Сархадов И., Шарипов З.А.

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