[PDF] Top 20 Oscillation and nonoscillation for impulsive dynamic equations on certain time scales

... differential equations have become important in recent years in mathemat- ical models of real processes and they rise in phenomena studied in physics, chemical technology, population dynamics, biotechnology and ... See full document

... of impulsive dynamic equations provides a natural framework for mathematical modeling of many real world ...The impulsive ef- fects exist widely in many evolution processes in which their ... See full document

... the oscillation and nonoscillation of solutions of various equations on time scales, and we refer the reader to the studies in ...the oscillation of the solutions of second-order ... See full document

... differential equations are used to simulate processes and phenomena observed in control theory, physics, chemistry, population dynamics, biotechnologies, industrial robotics, ...discussed oscillation theory ... See full document

... A time scale T is an arbitrary nonempty closed subset of the reals R ...of dynamic equations on time scales is a fairly new topic, and work in this area is rapidly ...a dynamic ... See full document

... of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger [1] in his PhD thesis in 1988 in order to unify contin- uous and discrete ...the oscillation of ... See full document

... on time scales T unbounded from above and for which the forward jump operator has a certain explicit form given by s(t) = at + b, where a ≥ 1, b ≥ 0 are ...to time scales T that are ... 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 ... 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 ... 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 ... 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], Erbe et ...the oscillation of the ... See full document

... on oscillation of dynamic equations with positive and negative coefficients are mainly concentrated on differential equations or difference ...on dynamic equations with positive and ... 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 ... See full document

... for oscillation of all solu- tion on unbounded time scales are ...the impulsive influence. It is rarely about the oscillation of higher order impulsive dynamic ... See full document

... of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his ...A time scale T is an arbitrary nonempty closed subset of the reals, and the cases when this ... See full document

... consider oscillation criteria for certain third-order delay and advanced dynamic equations on unbounded time ...A time scale T is a nonempty closed subset of the real ... See full document

... Oscillation, Nonoscillation and Growth of Solutions of Nonlinear Functional Differential Equations of Arbitrary Order, J.. Asymptotic Properties of Solutions of Functional Differential E[r] ... See full document

... of time scales, which play an important role in establishing the existence of solutions for ε-equivalent impulsive func- tional dynamic equations with such a ‘sight ...on time ... See full document

... Saker, “Oscillation of second-order forced nonlinear dynamic equations on time scales,” Electronic Journal of Qualitative Theory of Differential Equations, no.. Ridenhour, “Hamiltonian sy[r] ... See full document

... The study of dynamic equations on time scales which goes back to its founder Hilger [1] as an area of mathematics that has received a lot of attention. It has been created in order to unify ... See full document