[PDF] Top 20 Existence of periodic solutions for impulsive evolution equations in ordered Banach spaces

... upper solutions is an effective and flexible ...of ordered lower and upper solutions, one constructs two monotone sequences such that they uniformly converge to the extremal solutions between ... See full document

... The proof of Theorem 1.2 will be shown in the next section. In Section 2, we also discuss the existence of mild ω-periodic solutions for the PBVP1.1 between coupled lower and upper L-quasisolutions ... See full document

... As we know, nearly all the methods computing the topological degree depend on cone mappings. Recently, Sun and Liu introduced some new computation of topological degree when the concerned operators are not cone mappings ... See full document

... an impulsive differential ...of impulsive differential equations attracts more and more researchers’ interest, see ...about existence of solutions, periodic solutions and ... See full document

... the existence of the positive time periodic mild solutions for the evolution equation in an ordered Banach space E, u (t) + Au(t) = f (t, u(t)), t ∈ R, where A : D(A) ⊂ E → E is ... See full document

... affine-periodic solutions problem to the boundary value problem in ...the Banach contraction mapping ...the existence of affine-periodic solutions for nonlinear impulsive ... See full document

... of impulsive differential equation is linked to their utility in simulating processes and phenomena subject to short time perturbations during their ...Integro-differential equations play an important role ... See full document

... Hilbert spaces, and we denote by L(K, H) the set of all linear bound- ed operators from K into H, equipped with the usual operator norm k · ...the spaces potentially involved when no confusion possibly ... See full document

... the existence of periodic solution for semilinear impulsive periodic system ...of impulsive evolution operator corresponding to homogeneous linear impulsive system, we ... See full document

... Theorem . [, Theorem .] Let X be a reflexive real Banach space. Let : X → R be a sequentially weakly lower semicontinuous, coercive and continuously Gâteaux dif- ferentiable functional whose Gâteaux ... See full document

... a Banach space X, where A : D(A) ⊂ X → X is a closed linear operator, and –A generates a compact analytic operator semigroup T(t) (t ≥ ...the existence and uniqueness of periodic mild solution for ... See full document

... differential equations with nonlocal condition using measure of ...the existence results for quasilinear delay differential and integrodifferential equations with nonlocal conditions in Banach ... See full document

... the existence of two positive solutions for an infinite boundary value problem of third-order impulsive singular integro-differential equations on the half-line in Banach spaces by ... See full document

... the evolution equations with delay is to find conditions for the existence and stability of ω-periodic solutions in the case that the nonlinear mapping is ω-periodic func- tion in ... See full document

... This paper deals with the periodic boundary value problems for nonlinear impulsive evolution equations with controls. By using the theory of semigroup and fixed point methods, we address some ... See full document

... tion equations with noncompact ...local existence of mild solutions for nonlocal problem of fractional evolution equations in the situation that –A generates a noncompact analytic ... See full document

... of impulsive partial differential equations has become an active area of in- vestigation due to their applications in fields such as mechanics, electrical engineering, medicine biology (see ...The ... See full document

... of impulsive differential equations has become an important area of investigation in recent years, stimulated by their numerous applications to problems from mechanics, electrical engineering, medicine, ... See full document

... the existence of mild solutions for the abstract fractional nonlocal evolution equations with noncompact semigroup in partially ordered Banach ...the existence of abstract ... See full document

... Remark 1.1 Clearly, the assumptions imposed in Theorem 1.1 are too strict. As is well known, there is no research focused on the improvement of the assumptions in Theo- rem 1.1. By constructing a special Banach ... See full document