Periodic boundary value problem for the graph differential equation and the matrix differential equation

J. Vasundhara Devi; S.Srinivasa Rao; I.S.N.R.G.Bharat

doi:10.26637/mjm304/018

Abstract

A network can be represented by graph which is isomorphic to its adjacency matrix. Thus the analysis of networks involving rate of change with respect to time reduces to the study of graph differential equations and its associated matrix differential equations. In this paper we develop monotone iterative technique for graph differential equations and its associated matrix differential equations using Periodic boundary value problem.

Keywords:

Graph differential equation, Matrix differential equation, coupled lower and upper solutions, monotone iterative technique

Mathematics Subject Classification:

34G20

Authors Imprint References Funding Related Articles Downloads

J. Vasundhara Devi GVP-Prof.V.Lakshmikantham Institute for Advanced Studies, Department of Mathematics, GVP College of Engineering, Visakhapatnam-530 048, India.
S.Srinivasa Rao GVP-Prof.V.Lakshmikantham Institute for Advanced Studies, Department of Mathematics, GVP College of Engineering, Visakhapatnam-530 048, India.
I.S.N.R.G.Bharat GVP-Prof.V.Lakshmikantham Institute for Advanced Studies, Department of Mathematics, GVP College of Engineering, Visakhapatnam-530 048, India.

Pages: 598-606
Date Published: 01-10-2015
Vol. 3 No. 04 (2015): Malaya Journal of Matematik (MJM)

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