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In this paper, existence of S-asymptotically ω-periodic mild solutions for abstract integro-differential equationwith fractional order is considered. The main results are obtained bythe contraction ma...
Abstract: On classes of functions de?ned on R^2n we introduce abstract composition laws modelled after the pseudodifferential product of symbols. We attach to these composition laws modulation mapping...
Abstract: We study self-improving properties in the scale of Lebesgue spaces of generalized Poincar\'e inequalities in the Euclidean space. We present an abstract setting where oscillations are given ...
We prove that for any n > 2, the abstract commensurator group of the Baumslag –Solitar group BS(1, n) is isomorphic to the subgroup { 1 q 0 p  | q ∈ Q, p ∈ Q∗} of GL2(Q).
We discuss the unitary equivalence of generators GA,R associated with abstract damped wave equations of the type u¨+Ru˙ +AAu = 0 in some Hilbert space H1 and certain non-self-adjoint Dirac-type opera...
We develop the notion of the composition of two coalgebras, which arises naturally in higher category theory and the theory of species. We prove that the composition of two cofree coalgebras is cofre...
We give a parametrization with perfect subsets of $2^{\infty}$ of the abstract Ramsey theorem (see \cite{todo}) Our main tool is an extension of the parametrized version of the combinatorial forcing d...
We introduce and study a combinatorially defined notion of root basis of a (real) root system of a possibly infinite Coxeter group. Known results on conjugacy up to sign of root bases of certain irred...
The notion of term graph encodes a refinement of inductively generated syntax in which regard is paid to the the sharing and discard of subterms. Inductively generated syntax has an abstract expressio...
In this paper, we produce topologized versions of two theorems. One is due to Borel and Tits [2] and is concerned with abstract homomorphisms of absolutely almost simple algebraic groups.
This paper has a twofold purpose: to present an overview of the different multi-ideals that generalize the concept of absolutely summing operators and to sketch the beginning of a research project rel...
An evolution problem for abstract differential equations is studied. The typical problem is: ˙ u = A(t)u+F(t,u), t ≥ 0; u(0) = u0; ˙ u =du dt ∗)Here A(t) is a linear bounded operator in a Hilbe...
In this paper, we investigate the mild solutions of a Cauchy problem for abstract fractional differential equations with infinite delay. Several theorems of existence and uniqueness of mild solution...
In this paper we study the existence and uniqueness of solutions for fractional integrodifferential equations with nonlocal condition in a Banach space. The results are established by the applicatio...
In this paper we give conditions which assure the coercive solvability of an abstract differential equation of elliptic type with an operator in the boundary conditions, and the completeness of genera...

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