[PDF] Top 20 New existence results for periodic boundary value problems with impulsive effects

... for boundary value problems of nonlinear impulsive differential equations and much literature has been published about the existence of solutions for impulsive differential ... See full document

... the existence of solutions for prescribed variable exponent mean curvature impulsive system, with periodic-like, Dirichlet, and Neumann boundary value conditions, ...the ... See full document

... recent results on initial and boundary value problems of fractional differential equations, we refer the reader to a series of books and papers [–] and references cited ... See full document

... the existence of solutions of periodic boundary value problems for impulsive differential equations depending on a parameter λ ...the boundary value problem admits ... See full document

... In this section, we consider an example to illustrate the effectiveness of our new theorems. For brevity, we restrict our attention to scalar-valued impulsive BVPs, although we note that it is not difficult to ... See full document

... shows that the problem (.) has at least one solution on J. In the next existence result, we make use of Leray-Schauder’s nonlinear alternative. Lemma . (Nonlinear alternative for single valued maps) [] Let E ... See full document

... In view of Lemma 2.1 a useful operator will now be introduced so that fixed points of the operator will be solutions of the initial value problem (1.1)-(1.3). Lemma 2.2. Consider the initial value problem ... See full document

... We assume the reader is familiar with the notation and basic results for dynamic equations on time scales. While the books 20, 21 are indispensable resources for those who study dynamic equations on time scales, ... See full document

... (or boundary) value problems of fractional equa- tions by applying nonlinear analysis such as fixed point theorems, lower and upper so- lutions method, monotone iterative method, coincidence degree ... See full document

... the existence and uniqueness of solutions for impulsive fractional boundary-value problems with fractional integral jump ...some new existence and uniqueness ... See full document

... the existence of periodic solutions of the second-order equation x f t, x , where f is a Carath´eodory function, by combining a new expression of Green’s function together with Dancer’s global ... See full document

... 2, new definitions of lower and upper solu- tions are given, and two new comparison theorems are ...the existence and uniqueness of solutions to the linear problem associated with ... See full document

... ary value problem ...of boundary value problem. In Section , a general existence result is presented for ...the new results in the following ...some new conditions are ... See full document

... These results are due to Topal, and one can find them in [8] ...the existence of solutions with the help of the condition | ν(a) | ≥ µ(b), where ν(t) : = t − ρ(t) and in the proof of the existence of ... See full document

... antiperiodic problems have been studied extensively by numerous ...the existence of antiperiodic solutions was considered in ...Recently, existence results were extended to antiperiodic ... See full document

... the existence of solutions for a class of fractional differential ...a new and proper concept of periodic boundary value ...some existence results for the linear case and ... See full document

... boundary value problems for ordinary differential ...the existence and uniqueness of positive solutions for these problems by using the same method used in this paper, which is ... See full document

... a new class of generalized fractional integrals and derivatives defined by using a weight function and a scale function was introduced in ...The new fractional operators contain many existing fractional in- ... See full document

... the existence of at least three positive solutions for boundary value problem ...also new when T = R (the differential case) and Z (the discrete ... See full document

... the existence of solutions of problem ()-() under some sign conditions (see [] Theorem ) and when there exist a lower solution and an upper solution, ordered or not, of problem ()-() (see [] Theo- rem ... See full document