{"product_id":"qualitative-study-of-nonlinear-difference-equations-von-hamdy-elmetwally","title":"Qualitative Study of Nonlinear Difference Equations","description":"\u003cp\u003eWe 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843375672\"\u003e\u003ch3\u003eDifferential and Difference Equations\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843375672","offer_id":39470117126237,"sku":"9783843375672","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/12e2373e-afa8-4ea4-a108-be48d8e554a3.jpg?v=1756357080","url":"https:\/\/shop.autorenwelt.de\/en\/products\/qualitative-study-of-nonlinear-difference-equations-von-hamdy-elmetwally","provider":"Autorenwelt Shop","version":"1.0","type":"link"}