Bookcover of Qualitative Study of Nonlinear Difference Equations
Booktitle:

Qualitative Study of Nonlinear Difference Equations

Differential and Difference Equations

LAP LAMBERT Academic Publishing (2010-11-30 )

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ISBN-13:

978-3-8433-7567-2

ISBN-10:
3843375674
EAN:
9783843375672
Book language:
English
Blurb/Shorttext:
We establish a global convergence result for the higher order difference equation where k is a positive integer and are positive initial conditions and then apply this result to show that, under appropriate hypotheses, every positive solution of the difference equation, converges to a period p solution, where the period p is easily determined in terms of the coefficients. Also we present some known results and derive several new ones on the boundedness and the global stability of the solutions of the difference equation We study the global stability, the boundedness nature, and the periodic character of the positive solutions of the difference equation which is interesting in its own right, but which may also be viewed as describing a population model. We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument of the form.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Hamdy Elmetwally
Number of pages:
108
Published on:
2010-11-30
Stock:
Available
Category:
Mathematics
Price:
49.00 €
Keywords:
global stability, Periodicity, Difference Equations, periodicity

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