[PDF] Top 20 Periodic boundary value problems for fırst order dynamic equations on time scales

... a time scale defined as the real numbers set, and in the second one, the existence of extremal solutions to PBVP ...a time scale defined as a sequence of discrete points union a closed real interval is ... See full document

... of periodic boundary value problems for first-order impulsive integrodi ff erential equations of mixed-type on time scales by establishing a comparison result and ... See full document

... By using the classical fixed point theorem for operators on cone, in this article, some results of one and two positive solutions to a class of nonlinear first-order periodic boundary value ... See full document

... concerning periodic boundary value problems from the continuous calculus to time ...each time scale, a condition containing a Lipschitz constant of right-hand side function and ... See full document

... Recently, periodic boundary value problems PBVPs for short for dynamic equations on time scales have been studied by several authors by using the method of lower ... See full document

... for dynamic equations on time ...study dynamic equations on time scales, these manuscripts do not explicitly cover the concept of ... See full document

... p-Laplacian problems with two-, three-, m-point boundary conditions for ordinary differential equations and finite difference equations have been studied extensively, for example see 1–4 and ... See full document

... In this study, by employing Bai-Ge’s fixed point theorem [], we get the existence of at least three positive solutions for boundary value problem (.). In fact, our result is also new when T = R (the ... See full document

... of time scales as a way to unify continuous and discrete ...A time scale, denoted T , is defined to be any closed subset of the real ...are time scales. Hence examining dynamic ... See full document

... In this article, we use the Krasnosel’skii fixed point theorem, the Avery-Henderson fixed point theorem and the Leggett-Williams fixed point theorem to obtain some results for the existence of at least one, two or three ... See full document

... of dynamic equations on time scales goes back to its founder Hilger [1], and is a new area of still theoretical exploration in ...that dynamic equations on time ... See full document

... of time scales was introduced by Hilger [] in his PhD thesis in ...discrete equations, but has also exhibited much more complicated dynamics on time ...of dynamic equations on ... See full document

... of time scales, which unifies continuous and discrete analysis, was first introduced by Hilger ...of boundary value problems for dynamic equations on time ... See full document

... differential equations describe processes which experience a sudden change of their state at certain ...differential equations has been a significant development in recent years and played a very important ... See full document

... integral boundary conditions constitute a very interesting and important class of ...nonlocal boundary value problems as special cases [[21-24], and the references ...for boundary ... See full document

... for boundary value problems recent ...differential equations, while others have studied the problem for difference equations, while still others have considered the problem for ... See full document

... of dynamic equations on time scales has become a new important mathemat- ical branch [, ] since it was initiated by Hilger in  ...then, boundary value problems ... See full document

... difference equations with periodic boundary ...difference equations, and are useful in many practical problems in the aforesaid ... See full document

... of time scales was first introduced by Hilger [] in  in order to study differ- ences between discrete and continuous ...The time scale calculus offers great help on unifying discrete and ... See full document

... of time they experience a change of state ...differential equations provides a natural framework to mathematically describe the aforementioned jumping ... See full document