[PDF] Top 20 OSCILLATION OF A CLASS OF THIRD ORDER GENERALIZED FUNCTIONAL DIFFERENCE EQUATION

... of difference equations involving ∆ but the study of the same property of difference equations involving ∆ ` is ...new oscillation criteria ... 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

... a class of fourth-order difference equations with quasi-differences and deviating argument is ...new oscillation theorem for the sublinear case and we complete the existing results in the ... See full document

... the oscillation of a class fractional differential equation with Robin and Dirichlet boundary ...By generalized Riccati transforma- tion technique and the differential inequality method, ... See full document

... h(τ) (n+(n − 1)/α)β q(τ)dτ = ∞ , (5.5) Theorem 4.1(i) implies that all solutions of (5.4) are oscillatory. Application of Theorem 4.3 then shows that all solutions of (5.3) are oscillatory, and the conclusion of the ... See full document

... u (or u m ,n < 0 ) for large numbers m and n . It is said to be oscillatory if it is neither eventually positive nor eventually negative. (1) is called oscillatory if all of its nontrivial solutions are oscillatory. ... See full document

... Difference equations have attracted a great deal of attention of researchers in mathematics, biology, physics, and economy. This is specially due to the applications in various problems of biology, physics, economy. Among ... See full document

... Neutral difference equations can be applied in several fields such as bifurcation analysis, population dynamics, stability theory, the dynamics of delayed network systems and ...delay difference equations ... See full document

... contained therein. However, relatively few oscillation results are known for forced equations (see [5, 6, 7, 8, 9, 10, 11]). In this paper, we give sufficient conditions which ensure that all solutions of (1) are ... See full document

... 5. M. Maria Susai Manuel and G. Britto Antony Xavier, “Recessive, dominant and spiral behaviours of solutions of certain class of generalized difference equations”, International Journal of ... 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. ... See full document

... higher-order functional difference equation (2), we will remove the constrains on a and l in ...higher-order functional difference ... See full document

... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document

... of equation () is -periodic if a = . So, this equation is also known as Todd’s ...Lyness equation with a >  by the interpretation of the iteration of the map F induced by this recurrence on ... See full document

... The equation itself is called oscillatory if all of its solutions are ...the oscillation of so- lutions of the equations, we refer the readers to [1–13] and the references cited ...periodicity, ... See full document

... Since then, this kind of stability was known as the Hyers-Ulam stability and became a fun- damental stability theory concept of functional equations. In , T. Aoki [] published a paper on the stability of the ... See full document

... for oscillation of (7) and (6) have been ...new oscillation criteria, which improved the results given by Sa- hiner ...for oscillation of ...the generalized Riccati transformation and integral ... See full document

... ON DIFFERENCE EQUATION WITH GENERALIZED DILATION PAVEL PLASCHINSKY Received 22 July 2004; Revised 24 January 2005; Accepted 27 January 2005 We investigate the functional equation with generalized dila[.] ... 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 results obtained here ... See full document

... difference equation is a difference equation where parameters and initial values are fuzzy numbers, and its solutions are sequences of fuzzy ...difference equation for the analysis of phenomena where ... See full document