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

J. Vasundhara Devia,*, S.Srinivasa Raob and I.S.N.R.G.Bharatc

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

Authors :

J. Vasundhara Devi^a,*, S.Srinivasa Rao^b and I.S.N.R.G.Bharat^c

Author Address :

^a,b,cGVP-Prof.V.Lakshmikantham Institute for Advanced Studies, Department of Mathematics, GVP College of Engineering, Visakhapatnam-530 048, India.

*Corresponding author.

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.

DOI :

Article Info :

Received : May 10, 2015; Accepted : August 23, 2015.