[PDF] Top 20 Oscillation of Solutions of a Linear Second Order Discrete Delayed Equation

... positive solutions of discrete or continuous ...all solutions being oscillating for relevant investigation in both directions, we refer, ...the solutions being oscillating for a class of ... See full document

... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ... See full document

... In this paper, we present some new oscillation criteria for the equation (1.1). The obtained results simplifies the known results in the literature in the sense that we need only one condition instead of ... See full document

... the linear delay dynamic equations by Agarwal, Bohner and Saker in 2005 [1] (7) and the nonlinear delay dynamic equations by Sahiner [2] (6), some sufficient conditions for oscillation of (7) and (6) have ... See full document

... finite order or finite iterated order, and have obtained many results about the interaction between the solutions and the coefficient of ...q]- order or more general growth? In the following, we ... See full document

... In the last decades, there has been an increasing interest in obtaining sufficient conditions for the oscillation of solutions for different classes of second order dif- ferential equations. ... See full document

... Impulsive differential equations are recognized as adequate mathematical models for studying evolution processes that are subject to abrupt changes in their states at certain moments. Many applications in physics, ... See full document

... On the Oscillation of Solutions of a Class of Linear Fourth Order Differential Equations, Pacific J.. An Ordering of Oscillation Types for Anal.[r] ... See full document

... associated linear equation of the form ...developed linear oscillation theory in the investigation of ...associated linear equation” is just ...the linear transformation ... See full document

... few oscillation results are known for forced equations (see [5, 6, 7, 8, 9, 10, ...all solutions of (1) are oscillatory under the influence of certain classes of forcing ... See full document

... differential equation, particularly for the oscillatory properties of differential ...three solutions for impulsive boundary-value ...the oscillation and the non-oscillation of the ... See full document

... We observe that there has been increasing interest among the researchers in studying the effect of delays or advances in the independent variable have on the nature of solutions of differential equations with ... See full document

... the oscillation theory of impulsive differential equations emerging as an important area of research, since such equations have applications in control theory, physics, biology, population dynamics, economics, ... See full document

... In this article,we present some new sufficient conditions for the oscillation of all solutions of a second order difference equation with several super-linear neutral terms. The ... See full document

... years, oscillation and non-oscillation theory of second-order linear and nonlinear difference equations has attracted considerable attention, and we refer the reader to the papers of ... See full document

... In this section, we prove the existence of subharmonic solutions. In order to establish the condition of existence of subharmonic solutions for (2.1), first, we will prove the following lemmas, based ... See full document

... of solutions that converge to the equilibrium de- pends on the character of the roots of the characteristic equation of the linearized equa- tion evaluated at the ... See full document

... where V (x, t) satisfies some growth conditions and V(x, t) = V (x, t +). The author reduced the system to a normal form and then applied Moser twist theorem to prove the existence of quasi-periodic solution and the ... See full document

... x for all x ∈ R recursively. A functional equation involving the iterates of the unknown function is called an iterative functional equation. Some problems of dynamical systems such as iterative root [, ] ... See full document

... 1) Equation (14) has a solution of type (D) if and only if σ ≥ − − α 1 (Theorem ...2) Equation (14) has a solution of type (AC) if and only if σ < − − α 1 (Theorem ...3) Equation (14) has a ... See full document