Oscillation of second order nonlinear difference equations with super-linear neutral term
نویسندگان
چکیده
منابع مشابه
Oscillation of second order nonlinear neutral delay difference equations
In this paper sufficient conditions are obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form ∆(y(n) + p(n)y(n−m)) + q(n)G(y(n − k)) = 0 under various ranges of p(n). The nonlinear function G,G ∈ C(R,R) is either sublinear or superlinear. Mathematics Subject classification (2000): 39 A 10, 39 A 12
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This paper is concerned with the oscillatory behavior of second order neutral difference equations. Four oscillation theorems for such equations are established and examples are given to illustrate the results. Mathematics subject classification (2010): 39A11.
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In this paper, the authors using two inequalities and Ricatti type transformation obtained some new oscillation results for the second order nonlinear neutral type difference equations of the form ∆(an∆(xn + cnxn−k)) + pnf(xn+1−l)− qng(xn+1−m) = 0, and ∆(an∆(xn − cnxn−k)) + pnf(xn+1−l)− qng(xn+1−m) = 0. The obtained results improve, extend and generalize some of the known results. Further examp...
متن کاملOscillation criteria for nonlinear second-order difference equations with a nonlinear damped term
Sufficient conditions for the oscillation of solutions of the nonlinear second-order difference equation of the form [p(k)ψ(y(k)) y(k)] + q(k)h(y(k))g( y(k − r(k))) y(k) + f (k, y(k), y(k − s1(k)), y(k − s2(k)), . . . , y(k − sn(k))) = 0 are established. We obtain a series of results for oscillatory behaviour. © 2004 Elsevier Ltd. All rights reserved. MSC: 39A10
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ژورنال
عنوان ژورنال: Malaya Journal of Matematik
سال: 2019
ISSN: 2319-3786,2321-5666
DOI: 10.26637/mjm0703/0001