[PDF] Top 20 Trichotomy of nonoscillatory solutions to second order neutral difference equation with quasi difference

... ference equation we refer to [, ], for equations with quasi-differences to [–], and to the references cited ...of second- and third-order functional differential and difference equations ... See full document

... oscillatory solutions when equations show oscillation? And how do we estimate these bounds? Therefore, we obtain the oscillation criteria of differ- ence equations by studying the distribution of ... See full document

... of solutions of neutral difference equations, see [1]-[5], and the references cited ...of neutral difference equations with “maxima”, see [6]-[9], and the references cited ...all ... See full document

... this equation are ...this equation are studied. Additionally, the Emden-Fowler difference equation is considered as a special case of the above ... See full document

... Abstract. In this work, we consider the existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Our results include as special cases some ... See full document

... of solutions for some sec- ond and third order difference equations, see, for example, [–] and the references cited ...bounded nonoscillatory solutions and positive solutions for the ... See full document

... Motivated by the above observations, in this paper, we have obtained some new suffi- cient conditions for the oscillation of all solutions of Eq. (1.1) by using a Riccati type trans- formation, a summation averaging ... See full document

... Neutral type equations arise in a number of important applications in natural sciences and technology; see [7, 13]. Hence, in recent years there has been great interest in studying the oscillation of such type of ... See full document

... The theory of time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph.D. Thesis in 1988 in order to unify continuous and discrete analysis see Hilger 1. Several authors have ... See full document

... Abstract. In this work, an attempt is made to discuss the existence of nonoscillatory solutions of second order nonlinear neutral differential equations with variable delays. The main ... See full document

... of solutions, nonoscillatory solutions and bounded positive solutions for various kinds of neutral delay difference equations, see, for example, [1–25] and the references ...bounded ... See full document

... S., (2010), Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments, J.. S., (2013), Existence of nonoscillato[r] ... See full document

... Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii’s fixed point theorem, ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... bounded nonoscillatory solutions for the above equation, propose a few Mann type iterative approximation schemes with errors and obtain several errors estimates between the iterative approximations ... See full document

... oscillatory solutions of the First Order Neutral Difference Equation ...of nonoscillatory solutions of neutral difference equations has been investigated by ... See full document

... erence equation concerning a real-world phenomenon from experimental input-output data, which is uncertain, incomplete, imprecise, or vague, has been attracting increasing attention in recent ... See full document

... This means that rule for the lengths of positive and negative semicycles of the solu- tion of Equation (1.1) to occur successively is ..., 2 + , 1 - , 2 + , 1 - , .... The proof for other cases, except Case 1, is ... See full document

... and presented oscillation criteria which improved the existing results for the equation. In [], the authors established some sufficient conditions for the oscillation of all solu- tions of equation (.) ... See full document

... 5. Brzde¸k, J: On the Cauchy difference on normed spaces. Abh. Math. Semin. Univ. Hamb. 66, 143-150 (1996) 6. Ebanks, B: Generalized Cauchy difference functional equations. Aequ. Math. 70, 154-176 (2005) 7. Ebanks, B: ... See full document