[PDF] Top 20 Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations

... We consider a second-order ordinary differential equation with antiperiodic boundary conditions and impulses. By using Schaefer’s fixed-point theorem, some existence results are ... See full document

... of impulsive boundary value problems (IBVPs) became an important area of studies in recent ...of impulsive differential equations are topological methods as fixed point theorems, ... See full document

... periodic boundary value problems of first and second order for ordinary or functional or integro-differential equations with ... See full document

... hand, impulsive differential equations of fractional order play an important role in theory and applications, see the references 15–21 and references ...of boundary value problems ... See full document

... linear ordinary differential equations with two-point bound- ary conditions, a three-order nonlinear ordinary differential equation with multi-point boundary conditions, and a ... See full document

... Proof We transform the boundary value problem (.) into a fixed point problem, x = Ax, where the operator A is defined by (.). By using the Banach contraction mapping prin- ciple, we shall show that A has ... See full document

... that impulsive differential equations can provide a natural descrip- tion of observed evolution ...world problems in applied ...a second order differential equation u = f (t, u, u ), one ... See full document

... erential equations, which arise in physics, population dynamics, econom- ics, and so forth, are important mathematical tools for providing a better understanding of many real-world models, we refer to [1–5] and ... See full document

... Abstract. In this paper, a tensor method for variational approach is established based on Lax-Milgram theorem. Some new results are obtained for the existence of weak solution of ODE system with homogeneous ... See full document

... Integer-order impulsive differential equations have become important in recent years as mathematical models of phenomena in both physical and social ...in impulsive theory especially in the ... See full document

... In the beginning, this concept was applied to ordinary differential equations and then ex- tended to FODEs. We refer the readers to [39–44]. Very recently, Ali et al. [45], studied the Ulam-type stability ... See full document

... of problems with mass and heat diffusion, one frequently desires to solve second order non-linear ordinary differential equations involving conditions at two ...point ... See full document

... In the present paper we prove existence and uniqueness results for the impulsive bound- ary value problem (.) by using Banach’s contraction mapping principle and Krasnosel- skii’s fixed-point theorem. The ... See full document

... perturbation problems appear in many branches of applied mathematics, and for more than two decades quite a large number of research papers on the qualitative and quantitative analysis of these problems for ... See full document

... (6) It is called the equivalent integral equation of the system of ODE with boundary value problem (3). It can be developed into Galerkin method for seeking the approximate solutions of the system of ODE ... See full document

... We study the general semilinear second-order ODE u gt, u, u 0 under different two- point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. Moreover, ... See full document

... Motivated by [, , –], this paper is concerned with the boundary value problem (.) under sublinear conditions. The method we use is based on some recent fixed point theorems derived by Sun and Liu ... See full document

... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ... See full document

... We establish existence results of the following three-point boundary value problems: u t ft, ut 0, t ∈ 0, 1, BCu0 0 and u1 δuη, where 0 < η < 1 and 0 < δ ≤ 1. The approach applied in this ... See full document

... We should mention that 1.1, 1.2 are more general than equations considered in 13, 18 since f, J both contain x and its derivative. So our result is still new even when 1.1, 1.2 reduce to equations studied ... See full document