[PDF] Top 20 Oscillation and nonoscillation theorems for some mixed difference equations

... In this paper we study the oscillatory and nonoscillatory behavior of the solutions of certain third and fourth order difference equations.. Until recently, excepting the studies by Chen[r] ... 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

... of oscillation and stability of delay dynamic equations on time ...popularity. Some recent results on oscillation and existence of nonoscillatory solutions for dynamic equations can be ... See full document

... Onose, Asymptotic behavior of nonoscillatory solutions of functional differential equations of arbitrary order, J.. Onose, Nonoscillation theorems for differential equations with deviati[r] ... See full document

... type equations arise in a number of important applications in natural sciences and technology; see [7, ...the oscillation of such type of ...many oscillation results are available for the equation ... See full document

... difference equations of the form ...introduces some notations and provides the definitions of the q- fractional integral and differential operators together with some basic properties and lem- mas that ... See full document

... SZMANDA, B., Oscillation Theorems for Nonlinear Second-order Difference Equations, J.. Li, Z.H., A Note on the Oscillatory Property for Nonlinear Difference Equations and Differentlal Eq[r] ... See full document

... investigate oscillation and nonoscillation of certain second order neutral dynamic equations with positive and negative ...dynamic equations along with some additional estimates on ... See full document

... differential/difference equations of frac- tional order, the oscillation and nonoscillation of solutions for integer order second order difference equations are still considered as an open area ... See full document

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the ... See full document

... comparison theorems for investigation of the os- cillation of equation ...the oscillation of the second order neutral difference equations to a study of the oscillation properties of various ... See full document

... of difference equations of various types, for examples see [2–9, 13, 15, 18, 19] Our main goal in this paper is to give first some new results on the oscillatory behavior of all solutions of the ... See full document

... Nonlinear Difference Equations, International Journal of Mathematics and Statistics Invention (IJMSI) E- ISSN: 2321 – 4767 P-ISSN: 2321 - 4759 Volume 1 Issue 1 ǁ ... 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 Differential ... See full document

... Fractional calculus has proved to be valuable tools in describing and solving a large num- ber of problems in various fields of sciences and engineering [1, 2]. Their treatment from the viewpoint of difference ... 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

... 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

... the oscillation of solutions for different classes of second order dif- ferential ...the oscillation problem for ...nonlinear equations with damping ... See full document

... We obtain some oscillation criteria for solutions of the nonlinear delay differ αj ence equation of the form xn+1 − xn + pn m j=1 xn−k = 0.. 2000 Mathematics Subject Classification.[r] ... See full document

... for nonoscillation of all solutions of nonlinear functional differential ...established some sufficient conditions for oscillation of all solutions of the second-order forced differential equation of the ... See full document