This paper is concerned with semilinear differential equations with nonlocal conditions in Banach spaces. Using the tools involving the measure of noncompactness and fixed point theory, existence of mild solutions is obtained without the assumption of compactness or equicontinuity on the associated linear semigroup.
In this paper we study the existence of mild solutions for the nonlocal Cauchy problem x (t) = Ax(t) + f (t, x(t)), 0 < t ≤ b, x(0) = x 0 , by using the fixed point techniques, which extends and improves some existing results in this area.
This paper is concerned with a class of partial nonlocal neutral functional differential and integrodifferential equations with bounded delay in Banach spaces, which are more general than those models been studied. Some existence results of mild solutions to such problems are obtained under the conditions in respect of the Hausdorff's measure of… (More)
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 technique of operator transformation. Existence results are obtained when the nonlocal item is Lipschitz continuous. An example is also given to illustrate the obtained… (More)
This paper is concerned with nonlinear fractional differential equations with the Caputo derivative. Existence results are obtained for terminal value problems and initial value problems with initial conditions at inner points. It is also proved that the sufficient condition in order that a locally closed subset be a viable domain is the tangency condition.… (More)
Let X be a Banach space, A : D(A) ⊂ X → X the generator of a compact C 0-semigroup S(t) : X → X, t ≥ 0, D(·) : (a, b) → 2 X a tube in X, and f : (a, b) × B → X a function of Carathéodory type. The main result of this paper is that a necessary and sufficient condition in order that D(·) be viable of the semilinear differential equation with infinite delay u… (More)
First observation of J/ψ and ψ(2S) decaying to nK 0 S ¯ Λ + c.c. The decays of J/ψ and ψ(2S) to nK 0 S ¯ Λ + c.c. are observed and measured for the first time, and the perturbative QCD " 12% " rule is tested, based on 5.8 × 10 7 J/ψ and 1.4 × 10 7 ψ(2S) events collected with BESII detector at the Beijing Electron-Positron Collider. No obvious enhancement… (More)