SOME COMPARISON RESULTS IN DIFFERENCE EQUATIONS

Main Article Content

A. B. Jadhav

Abstract

In this paper, we present some comparison results regarding first order difference equation using supremum type difference.

Keywords: Difference Equation, Comparison Theorems, Maximal solution.

2006 AMS mathematics subject classification: 35A10, 35A02.

Downloads

Download data is not yet available.

Article Details

How to Cite
Jadhav, A. B. (2017). SOME COMPARISON RESULTS IN DIFFERENCE EQUATIONS. Journal of Global Research in Mathematical Archives(JGRMA), 4(10), 58–63. Retrieved from https://jgrma.com/index.php/jgrma/article/view/350
Section
Review Articles

References

R. P. Agarwal, ``Difference equations and inequalities: Theory, Methods and Applications,’’ Marcel Dekker, New York, (1991).

K. L. Bondar, S. T. Patil, V. C. Borkar, “Comparison Theorems for Linear Difference Equationâ€, The Mathematics Eduction, Vol. XLIV, No. 4, Dec, 2010.

K. L. Bondar, S. T. Patil, V. C. Borkar, “Some Existence and Uniqueness Results for Difference Boundary Value Problemsâ€, Bulletin of Pure and Applied Sciences, Vol. 29, Issue-2(2010), p. 291-296.

K. L. Bondar and M. R. Pawade, “On Some summation inequalitiesâ€, Journal of Contemporary Applied Mathematics, Vol. 2, No. 1, Sept, 2011.

K. L. Bondar, “On Minimax Solution of First order Difference Initial Value Problemsâ€, Journal of Contemporary Applied Mathematics, Vol. 1, No. 1, Sept, 2011.

K. L. Bondar, “Some Comparison Results for First Order Difference Equationsâ€, Int. J. Contemp. Math. Science, Vol. 6, 2011, No. 38, 1855-1860.

K. L. Bondar, “Some Scalar Difference Inequalitiesâ€, Applied Mathematical Sciences, Vol. 5, 2011, no. 60, 2951-2956.

K. L. Bondar, “Some summation inequalities reducible to difference inequalitiesâ€, Int. J. Contemp. Math. Science, Vol. 2, No. 1, June, 2011.

K. L. Bondar, “On Solutions of Summation Equationâ€, Int. J. of Emerging trends in Engineering and Development, Issue 1, Vol. 3, 2011.

K. L. Bondar, A. B. Jadhav and M.R. Pawade, “Local and Global Existence of Solutions for Summation Equationâ€, Int. J. of Pure and Applied Sciences and Technology, 13(1), (2012), pp. 1-5.

W. Kelley and A. Peterson, “Difference Equationsâ€, Academic Press, (2001), California, USA.

V. Lakshmikantham and S. Leela, “Differential and Integral Inequalities, Theory and Applicationsâ€, Academic Press (1969).