[PDF] Top 20 First order periodic problem at resonance with nonlinear impulses

... the impulses which depend on an actual value of the solution. These impulses can be interpreted as a control of the external forces represented by f in order to get existence or nonexistence a peri- ... See full document

... a periodic boundary value problem of nonlinear first order ordinary hybrid differential equations with a linear perturbation of second type via Dhage iteration ... See full document

... “First order impulsive integro-differential equations on unbounded domain in a Banach space,” Dynamics of Continuous, Discrete and Impulsive Systems, ...and nonlinear boundary conditions,” ... See full document

... first order impulsive difference equations with peri- odic boundary ...first order impulsive difference equations with linear boundary ...anti- periodic boundary value problems for nonlinear q k ... See full document

... the problem (1.1) reduces to the problem studied by [38] and for the case I k ( x ) ≡ 0, k = 1, ...the problem (1.1) reduces to the problem (in the one-dimension case) studied by ... See full document

... Section 5 contains the proof of main theorem on the base of the continuation method of Krasnosielski et al. and Mawhin et al. and the Leray-Schauder degree. In some sense our hypothesis is equivalent to an assumption ... See full document

... discrete problem at resonance was studied by Rodriguez in 17 , in which the nonlinearity is required to be ...the problem under “asymptotic nonuniform resonance” ... See full document

... the problem of global stability of equilibrium points and periodic solutions of HCNNs have been reported (see ...of nonlinear differential equations ...the problem of existence and stability of ... See full document

... for problem 1.1. We give three results, the first one is based on Banach fixed theorem, the second one is based on Schaefer fixed point theorem, and the third one is based on the nonlinear ... See full document

... continuous first derivative on some subset of R and is a linear bounded functional which is defined on the Banach space of left-continuous regulated functions on [a, b] equipped with the sup-norm. The functional is ... See full document

... For simplicity, we say a function q 0 provided that q : R → (0, ∞ ) is ω-periodic and continuous. If q : R → [0, ∞ ) is ω-periodic and continuous with 0 ω q(t) dt > 0, then it’s denoted as q 0. Thus, if ... See full document

... The existence and uniqueness of solutions of the nonlinear HIDE (1.1) under usual compactness and Lipschitz type conditions have been discussed at length in the literature. These conditions are considered to be ... See full document

... features. First, we consider the impulsive fractional integro-differential equation of mixed type, that is, the nonlinear f involves linear operators T and ... See full document

... On the other hand, in the past two decades, a wide variety of techniques, especially critical point theorem, have been developed to investigate the existence of the periodic solutions to the functional differential ... See full document

... positive periodic solutions for problem ...positive periodic solution on the parameter for problem ...positive periodic solutions for problem ...positive periodic ... 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 and upper solutions, fixed point theorems, and the ... See full document

... which return to the point P, the duration of each arc is again selected as a simple fraction N of the orbit period of the two primary masses. Here N=5 is selected for illustration to generate large arcs (where N=10 was ... See full document

... a nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite interval in which the lim-4 case holds for fourth order differential expression at ...the ... See full document

... f α + g (u,v) (l) . (3.40) Observation 3.9. For (u,v) in the boundary of Ω, u − Q(I − E)F(u + MEF(u + v)) < r. Proof. For (u,v) in the boundary of Ω, (u,v) = max { u , v } = r. We consider first those elements ... See full document

... In fact, both continuous and discrete systems are very important in implementation and application. Therefore, the study of dynamic equations on time scales, which unifies dif- ferential, difference, h-difference, ... See full document