EXISTENCE AND UNIQUENESS OF ψ-BOUNDED SOLUTIONS FOR NONLINEAR MATRIX DIFFERENCE EQUATIONS

Authors

  • T. Srinivasa Rao Koneru Lakshmaiah University - Department of Mathematics
  • G. Suresh Kumar Koneru Lakshmaiah University - Department of Mathematics
  • Ch. Vasavi Koneru Lakshmaiah University - Department of mathematics
  • M.S.N. Murty Acharya Nagarjuna University - Department of Applied Mathematics (Retired professor)

Keywords:

ψ-bounded solutions, Banach contraction principle, nonlinear difference equations

Abstract

Sufficient conditions are established for the existence and uniqueness of ψ-bounded solutions for nonlinear vector difference equation on Z, using Banach contraction principle.  Further, we obtain sufficient conditions for the existence and uniqueness of ψ-bounded solutions for nonlinear matrix difference equation on Z, using Kronecker product of matrices. 

Cover of n°35 Italian Journal of Pure and Applied Mathematics

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Published

2015-12-31

How to Cite

Rao, T. S., Kumar, G. S., Vasavi, C., & Murty, M. (2015). EXISTENCE AND UNIQUENESS OF ψ-BOUNDED SOLUTIONS FOR NONLINEAR MATRIX DIFFERENCE EQUATIONS. Italian Journal of Pure and Applied Mathematics, 35, 453–464. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6414

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 T. Srinivasa Rao, G. Suresh Kumar, Ch. Vasavi, M.S.N. Murty

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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