SOME ASYMPTOTIC STABILITY CRITERION FOR THE SOLUTIONS OF FIRST ORDER DIFFERENCE EQUATION

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Published: Feb 13, 2018

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P.U. Chopade

Abstract

In this paper, we present some results concerning the asymptotic stability of the trivial solution of the first order difference equation applying various conditions.

 

Keywords: Difference Equation, Equistability, Asymptotic stability.

 

2006  mathematics subject classification: 43A05, 43A10.

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How to Cite
Chopade, P. (2018). SOME ASYMPTOTIC STABILITY CRITERION FOR THE SOLUTIONS OF FIRST ORDER DIFFERENCE EQUATION. Journal of Global Research in Mathematical Archives(JGRMA), 5(2), 41–45. Retrieved from https://jgrma.com/index.php/jgrma/article/view/408
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Vol. 5 No. 2 (2018): FEBRUARY-2018
Section
Research Paper
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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.