On a fundamental system of solutions of the matrix Schrodinger equation with a polynomial energy-dependent potential

被引：3

作者：

Nabiev, A. Adiloglu ^{[1
]}

机构：

[1] Cumhuriyet Univ, Fac Educ, TR-58140 Sivas, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 11期

关键词：

matrix Sturm-Liouville equation; matrix Schrodinger equation; transformation operators; integral representations of the Jost solutions; asymptotics of the solutions of the differential equations; spectral analysis of differential operators; integral and derivatives of fractional order; VALUED SCHRODINGER; SPECTRAL PROBLEMS; TRACE FORMULAS; LIOUVILLE; THEOREMS;

D O I：

10.1002/mma.1261

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study in the interval (0;+infinity) a fundamental system of solutions with behavior at the neighborhood of zero and at infinity are investigated for the polynomial pencil of the matrix Schrodinger equation. The integral representations are constructed for the Jost-type solutions and asymptotic formulas are obtained for the fundamental system of solutions of the matrix Schrodinger pencil. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：1372 / 1383

页数：12

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