[PDF] Top 20 On summability, integrability and impulsive differential equations in Banach spaces

... In [], the integral calculus is presented for regulated mappings, i.e., the mappings from a real interval I to a Banach space E, having left limits in I \ { inf I} and right limits in I \ { sup I}. The definition ... See full document

... For impulsive fractional differential equations, one can propose different concepts of so- ...noninstantaneous impulsive fractional differential inclusions of the ... See full document

... differential equations has received a great deal of attention from many scientists and researchers during the past decades; see, for instance, ...differential equations; see [–] and the references ... See full document

... partial differential equations, integral equations or coupled ordinary and partial differential, integrodifferential ...by differential and integrodifferential equations in ... See full document

... of impulsive differential equations or inclusions has become an active area of investigation due to their applications in the fields of mechanics, elec- trical engineering, medicine biology, ecology, and so ... See full document

... Fractional differential equa- tions appears in a large number of fields of science and engineering, thermodynam- ics, elasticity, wave propagation, electric railway systems, telecommunication lines and also in ... See full document

... in Banach spaces, and through the cone creates a convex closed ...nth-order impulsive singular nonlinear integro-differential equations in Banach spaces by applying the Mönch fixed ... 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, ... See full document

... third-order impulsive singular integro-differential equations on the half-line in Banach spaces by means of the fixed point theorem of cone expansion and compression with norm ... See full document

... This article is concerned with impulsive semilinear differential equations with nonlocal initial conditions in Banach spaces. The approach used is fixed point theorem combined with the ... See full document

... Here we have established the existence of PC-mild solutions for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained by using Ba- nach ... See full document

... Conversely, if we assume that u satisfies (.), by a direct computation, it follows that the solution given by (.) satisfies (.)-(.). This completes the proof. Next, we recall that the Hausdorff measure of ... See full document

... Abstract. We discuss the conditions under which bounded solutions of the evolution equation x (t) = Ax(t) + f (t) in a Banach space are almost automorphic whenever f (t) is almost automorphic and A generates a C 0 ... See full document

... In this paper, we apply fixed point results for mappings in partially ordered function spaces to derive existence results for initial and boundary value problems in an ordered Banach space E. Throughout ... See full document

... differential equations has been emerging as an important area of investigation in recent ...differential equations are often applicable in engineering, physics, chemistry, and ...differential equations ... See full document

... of impulsive periodic logistic single-species system with continuous periodic control strategy is ...the impulsive evolution operator introduced by us are ...the impulsive evolution operator, we ... See full document

... The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The notion of a measure of weak compactness was introduced by De Blasi [7] and was ... See full document

... of impulsive times to a variety of problems from Nieto and Rodr´ ıguez-L ´opez 14–16, Jankowski 17–19, Lin and Jiang 20, Ma and Sun 21, He and Yu 22, Feng and Xie 23, Yan 24, Benchohra et ... 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

... of impulsive differential equations has lately years been an object of increasing interest because of its vast applicability in several fields including mechanics, electrical engineering, biology, medicine, ... See full document