AbstractThe Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+ƒ(t)u(0) = x for a (non-densely defined) linear operator A is treated with the help of the theory of integrated semigroups. New well-posedness results are obtained for differential operators and in particular the Schrödinger operator iΔ
Some classes of fractional abstract differential equations with $\alpha$-integrated semi groups a...
AbstractIn this paper, we investigate the asymptotic behaviour of Cauchy problems which are not gove...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
This paper is concerned with characterizations of those linear, closed, but not necessarily densely ...
AbstractConcepts which have been developed in the theory of weakly∗ continuous semigroups on dual Ba...
AbstractThe Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+ƒ(t)u(0) = x for a (non-d...
AbstractThis paper is devoted to the study of the essential growth rate of some class of semigroup g...
AbstractThe α-times integrated semigroups, α>0, are introduced and analyzed. It is shown that suitab...
AbstractLetEbe a Banach space,B0,…,Bn−1closed linear operators onE, andf: [0,∞)→E. This paper is dev...
AbstractLet {fm; m∈N} be a sequence of functions from [0, ∞) to a Banach space E. We give a new and ...
In this paper some basic sytem theoretic concepts will be introduced for abstract systems of the for...
AbstractThis paper discusses the following viability problem of a differential inclusion, x′(t) + Ax...
AbstractA necessary and sufficient condition that a densely defined linear operator A in a sequentia...
AbstractIn this paper, we first study solutions of the functional equation Ax = q, where A is the ge...
AbstractLet S be a locally compact abelian semigroup and T a bounded representation of S by linear b...
Some classes of fractional abstract differential equations with $\alpha$-integrated semi groups a...
AbstractIn this paper, we investigate the asymptotic behaviour of Cauchy problems which are not gove...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
This paper is concerned with characterizations of those linear, closed, but not necessarily densely ...
AbstractConcepts which have been developed in the theory of weakly∗ continuous semigroups on dual Ba...
AbstractThe Banach space valued inhomogeneous Cauchy problem u′(t) = Au(t)+ƒ(t)u(0) = x for a (non-d...
AbstractThis paper is devoted to the study of the essential growth rate of some class of semigroup g...
AbstractThe α-times integrated semigroups, α>0, are introduced and analyzed. It is shown that suitab...
AbstractLetEbe a Banach space,B0,…,Bn−1closed linear operators onE, andf: [0,∞)→E. This paper is dev...
AbstractLet {fm; m∈N} be a sequence of functions from [0, ∞) to a Banach space E. We give a new and ...
In this paper some basic sytem theoretic concepts will be introduced for abstract systems of the for...
AbstractThis paper discusses the following viability problem of a differential inclusion, x′(t) + Ax...
AbstractA necessary and sufficient condition that a densely defined linear operator A in a sequentia...
AbstractIn this paper, we first study solutions of the functional equation Ax = q, where A is the ge...
AbstractLet S be a locally compact abelian semigroup and T a bounded representation of S by linear b...
Some classes of fractional abstract differential equations with $\alpha$-integrated semi groups a...
AbstractIn this paper, we investigate the asymptotic behaviour of Cauchy problems which are not gove...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
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