Oscillation of second-order nonlinear dynamic equations with positive and negative coefficients
نویسندگان
چکیده
منابع مشابه
Oscillation Theorems for Second Order Nonlinear Neutral Type Difference Equations with Positive and Negative Coefficients
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...
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In this paper we obtain oscillation criteria for solutions of homogeneous and nonhomogeneous cases of second order neutral differential equations with positive and negative coefficients. Our results improve and extend the results of Manojlović, Shoukaku, Tanigawa and Yoshida [6].
متن کاملNew Oscillation Criteria for Second-Order Neutral Delay Differential Equations with Positive and Negative Coefficients
and Applied Analysis 3 By using weaker conditions than in 4, 10 , Karpuz et al. 1 have established oscillation criteria for differential equation [ x t ∑ i∈R ri t x αi t ]′′ ∑ i∈P pi t x ( βi t ) − ∑ i∈Q qi t x ( γi t ) f t . 1.6 In this paper, we shall continue in the direction to study the oscillatory properties of 1.1 and 1.2 . We establish new oscillation criteria for 1.1 and 1.2 , which ex...
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In this paper the authors classified all solutions of the following equation ∆ ( an ( ∆(xn + cnxn−k) )α) + pnf(xn−l) − qng(xn−m) = 0 into four classes and obtain conditions for the existence/nonexistence of solutions in these classes. Examples are provided to illustrate the results.
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2013
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2013-168