On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order

被引：4

作者：

Alves, Manuel Joaquim ^{[1
]}

Labovskiy, Sergey M. ^{[2
]}

机构：

[1] Eduardo Mondlane Univ, Av Julius Nyerere,Campus 3453, Maputo, Mozambique

[2] Plekhanov Russian Univ Econ, 36 Stremyanny Lane, Moscow, Russia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2019年 / 59期

关键词：

quadratic functional; monotone solutions; spectrum; Jacobi condition;

D O I：

10.14232/ejqtde.2019.1.59

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a self-adjoint boundary value problem for a functional-differential equation of even order, the basis property of the system of eigenfunctions and the equivalence of such statements as the positivity of the corresponding quadratic functional, the Jacobi condition and the positivity of the Green function are established.

引用

页码：1 / 14

页数：14

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