[PDF] Top 20 Positive Periodic Solutions of Second Order Functional Differential Equation with Impulses

... impulsive differential equations has become an important aspect of differential ...equations. Differential equations with impulses provide an adequate mathematical model of many evolutionary ... See full document

... three positive periodic solutions for a class of higher- dimensional functional differential equations with impulses on time scales of the following form: x Δ t Atxt ft, x t , t / t j , ... See full document

... of periodic solutions have attracted many authors’ attention and ...nonlinear functional analysis have been applied to research the periodic problems of Equation (), such as the upper ... See full document

... Impulsive functional differential equations are emerging as an important area of investiga- tion, since various real-world simulation processes which depend on their prehistory and are subject to short time ... See full document

... Boundary value problems with integral boundary conditions arise naturally in thermal conduction problems [], semiconductor problems [], hydrodynamic problems [], ther- mostat problems [] and so on. It is interesting ... See full document

... a periodic boundary value problem for third-order linear differential equations,” Differentsial’nye Uravneniya, ...“Periodic solutions of second-order nonautonomous dynamical ... See full document

... By the integral mean value theorem, there exists a constant ξ ∈ (, T ) such that g( –r  x(ξ + s)dα(s)) – q = . So (H) implies that | –r  x(ξ + s) dα(s) | ≤ M. Since  –r (α) =  and α(–r) = α() on t ∈ [–r, ], by ... See full document

... In this note, existence and uniqueness criteria for periodic solutions of 1.3 will be established. For this purpose, we will make use of a continuation theorem of Mawhin. Let X and Y be two Banach spaces ... See full document

... weak solutions for problem (). We also verify that these solutions are generated by impulses when h ≡ ; see Theorems ...by impulses if this solution is nontrivial when impulsive terms f k , ... See full document

... In this paper we deal with one kind of second order periodic-integrable boundary value problem. Using the lemma on bilinear form and Schauder’s fixed point theorem, we give the existence and ... See full document

... the following vector version of Krasnosel’skii’s fixed point theorem [14]. In addition, there are many papers concerned with the existence and multiplicity of radial solutions of the elliptic equations with the ... See full document

... 4-periodic solutions of (1.4). But those 4-periodic solutions obtained by [17, Theorem ...The solutions of (1.3), which will not generate noncontact solutions of ... See full document

... of positive periodic solution of higher-order functional difference equation (2), we will remove the constrains on a and l in ...of positive periodic solutions for ... See full document

... Variational methods are very powerful techniques in nonlinear analysis and are exten- sively used in many disciplines of pure and applied mathematics, including ordinary and partial differential equations, mathematical ... See full document

... of periodic solutions of functional di ff erential equations, one commonly uses methods of fixed point theory, coincidence degree theory, Fourier anal- ysis, and so ...multiple periodic ... See full document

... functional ϕ satisfies the PS condition. In the same way as in Theorem ., we can easily verify that conditions (i) and (ii) of Lemma . are satisfied. According to Lemma ., ϕ possesses infinitely many critical ... See full document

... almost periodic solutions for some difference ...almost periodic sequences to show the main results of this ...a second order differential equation with piecewise constant ... See full document

... upper-lower solutions must be ...upper-lower solutions for concrete functional differential ...of positive periodic solutions for four-point fractional differential ...of ... See full document

... where r(t) = e(t) μ , s(t) = μ c , α =  – μ, β =  – μ. Based on the lower and upper solution technique, the existence and asymptotic stability of positive solutions for () are obtained. In this paper, ... See full document

... a second-order equation with strong force condition; see, ...the periodic problem for a singular second-order equation with the weak force condition and showed that weak ... See full document