[PDF] Top 20 12. Oscillation theorems for dynamic equation on time scales

... hypothesis that (2.1) does possess such solutions. A solution x(t) of (2.1) is said to be oscillatory if it is neither eventually positive nor eventually negative, otherwise it is nonoscillatory. The equation ... See full document

... Saker, Asymptotic Behavior of Solutions of a Third-Order Non-linear Dynamic Equation on Time Scales, Journal of Computational and Applied Mathematics 181, (2005) 92-102. Thandapani, O[r] ... See full document

... We discuss the existence of oscillatory and nonoscillatory solutions for first-order impul- sive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on ... See full document

... the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to Bohner and Saker 5 , Erbe 6 , and Hassan 7 ...the oscillation of the solutions ... See full document

... of dynamic equation with mixed arguments on time ...the oscillation of third order dynamic equation with mixed ar- guments of type ...ensure oscillation of all solutions ... See full document

... In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the ... See full document

... Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales, ...Long, Oscillation criteria for quasi-linear neutral delay dynamic ... See full document

... the time scales theory, which in order to unify the continuous and discrete analysis, has received significant ...the oscillation and nonoscillation of solutions of various equations on time ... See full document

... the oscillation and non-oscillation of solutions of dynamic equations on time ...second-order dynamic equations whereas for higher order equations results are very ... See full document

... second-order dynamic equations on time-scales, see ...the oscillation of higher order ...the oscillation of Equation ...for dynamic equations on time ...on ... See full document

... for oscillation of all solu- tion on unbounded time scales are ...the oscillation of higher order impulsive dynamic equations on time ... See full document

... of time scales, which has recently received a lot of attention, was introduced by Hilger in his ...of time scales, by Bohner and Peterson [3], summarizes and organizes much of the time ... See full document

... Existence results for system (1.2) were obtained in [5] with f is a continuous function. In the particular case where n = 1, existence results for first-order ∇-dynamic equation on time scales ... See full document

... the oscillation and nonoscillation of solutions of various equations on time scales; we refer the reader to the papers [–] and the references cited ...the oscillation results for ... See full document

... on time scales, we refer the reader to the papers which deal with the first-order dynamic equations [5–7] and second-order dynamic equations ...the oscillation of solutions of ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... See full document

... of time scales and time scale notation are assumed, for an excellent introduction to the calculus on time scales; see Bohner and Peterson [, ...the oscillation and asymptotic ... See full document

... of oscillation and stability of delay dynamic equations on time ...on oscillation and existence of nonoscillatory solutions for dynamic equations can be found in the articles [6–23] and ... See full document

... advanced dynamic equation on time scales, such as the h- difference equation (h > 0), and it is also called a finite difference equation, ... See full document

... for oscillation of a fourth order dynamic equation on time scales with deviating ...the oscillation behavior of solutions for strongly superlinear and strongly sublinear cases of ... See full document