On the disconjugacy property of an equation on a graph
- Authors: Kulaev R.C.1,2
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Affiliations:
- Southern Mathematical Institute
- Khetagurov North Ossetian State University
- Issue: Vol 57, No 1 (2016)
- Pages: 64-73
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170325
- DOI: https://doi.org/10.1134/S0037446616010079
- ID: 170325
Cite item
Abstract
Under study is the disconjugacy theory of forth order equations on a geometric graph. The definition of disconjugacy is given in terms of a special fundamental system of solutions to a homogeneous equation. We establish some connections between the disconjugacy property and the positivity of the Green’s functions for several classes of boundary value problems for forth order equation on a graph. We also state the maximum principle for a forth order equation on a graph and prove some properties of differential inequalities.
About the authors
R. Ch. Kulaev
Southern Mathematical Institute; Khetagurov North Ossetian State University
Author for correspondence.
Email: kulaev@smath.ru
Russian Federation, Vladikavkaz; Vladikavkaz