Two classes of multi-point BVPs for first order impulsive functional differential equations with nonlinear boundary conditions are studied. Sufficient conditions for the existence of at least one solution to these BVPs are established, respectively. Our results generalize and improve the known ones. Some examples are presented to illustrate the main results. c ©2012 NGA. All rights reserved.

Impulsive differential equations, which arise in physics, population dynamics, economics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1–5] and the references therein. About the applications of the theory of impulsive differential equations to different areas, for example, see [6–15]. Boundary value problems (BVPs) f...

Impulsive differential equations, which arise in physics, population dynamics, economics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1–5] and the references therein. About the applications of the theory of impulsive differential equations to different areas, for example, see [6–15]. Boundary value problems (BVPs) f...

In this paper, we obtain sufficient conditions for existence of solutions a third order m-point impulsive boundary value problem on time scales. To the best our knowledge, there is hardly any work dealing with multi point dynamic BVPs. The reason may be complex arguments caused by both perturbations and calculations As an application, give example demonstrating results.

Boundary value problems (BVPs) have been studied for a long period. At the beginning, most researchers focused on two-point BVPs with four classical boundary conditions (BCs) of Dirichlet type u() = u() = , Neumann type u′() = u′() = , Robin type u() = u′() =  or u′() = u() = , and Sturm-Liouville type αu() – βu′() = , γu() + δu′() = . Later, in order to meet the requirements ...

In this paper, we study the modified decomposition method (MDM) for solving nonlinear twopoint boundary value problems (BVPs) and show numerical experiments. The modified form of the Adomian decomposition method which is more fast and accurate than the standard decomposition method (SDM) was introduced by Wazwaz. In addition, we will compare the performance of the MDM and the new nonlinear shoo...