SMALLEST EIGENVALUES FOR A RIGHT FOCAL BOUNDARY VALUE PROBLEM

被引：9

作者：

Eloe, Paul ^{[1
]}

Neugebauer, Jeffrey T. ^{[2
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

[2] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 01期

关键词：

fractional boundary value problem; u(0)-positive operator; smallest eigenvalues; DIFFERENTIAL-EQUATIONS; ORDER; POINTS;

D O I：

10.1515/fca-2016-0002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of smallest eigenvalues for the fractional linear boundary value problems D(0+)(alpha)u+lambda(1)p(t) u = 0 and Da(0+)(alpha)u+lambda(2)q(t) u = 0, 0 < t < 1, with each satisfying the right focal boundary conditions u(0) = u' (1) = 0. A comparison result is then obtained.

引用

页码：11 / 18

页数：8

共 16 条

[1]

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[2]

Davis J.M., 1999, Dynamic Systems and Applications, V8, P381

[3]

Eloe P.W., 1992, Recent Trends in Ordinary Differential Equations, V1, P179

[4]

Eloe P.W., 1989, APPL ANAL, V34, P25