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On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments.

Authors :
Domoshnitsky, Alexander
Koplatadze, Roman
Source :
Journal of Inequalities & Applications. 2007, Vol. 2007 Issue 1, p1-22. 22p.
Publication Year :
2007

Abstract

The article presents a study on the mathematical equation of two-dimensional linear differential systems with deviating arguments using Kneser type solutions. It presents an equation with positive coefficient and two linearly independent solutions. The article also evaluates the existence and uniqueness of these types of solutions. It proves that Kneser type solution is equivalent to nonvanishing of the Wronskian fundamental system and positivity of Green's function of the problem.

Details

Language :
English
ISSN :
10255834
Volume :
2007
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
31689473
Full Text :
https://doi.org/10.1155/2007/52304