The paper presents some dynamical aspects of Rabinovich type, with distributed delay and with fractional derivatives. 2000 AMS Mathematics Subject Classification: 37K10, 26A33, 58A05, 58A40, 53D17

We obtain an expansion of Taylor style of the distribution δ(u(x1, ...xn)− t) where u(x1, ...xn) ∈ C∞(Rn) without critical points and t is a real number. In particular, we obtain the expansion of the distribution δ(P + m)(see ([3]), ([4]) and ([5])), where m is a positive real number and P = P (x) = x1 +x 2 2 + ...x 2 p−xp+1− ...−xp+q, p+ q = n dimension of the space. AMS Mathematics Subject Cl...

The crossed products of locally C-algebras are defined and a Takai duality theorem for inverse limit actions of a locally compact group on a locally C-algebra is proved. 2000 AMS Mathematics subject classification. Primary 46L05, 46L55.

The paper presents some dynamical aspects of Rabinovich type, with distributed delay and with fractional derivatives. 2000 AMS Mathematics Subject Classification: 37K10, 26A33, 58A05, 58A40, 53D17

We define the length of a semigroup presentation and related ideas. Theoretical results and bounds are presented, gained while investigating the lengths of groups defined by semigroup presentations. Minimal length semigroup presentations are obtained in certain cases. AMS Mathematics Subject Classification (2000): 20F05, 20M05

The purpose of this paper is to extend a stability theorem of Zabczyk to the case of semigroups of operators in locally convex topological vector spaces. Obtained results generalize the similar theorems proved by Datko, Pazy, Rolewicz and Littman for the case of C0-semigroups of operators in Banach spaces. AMS Mathematics Subject Classification (2000): 34D05,34D20

In this paper, we give a necessary and sufficient condition for the finiteness of the Galois cohomology of unipotent groups over local fields of positive characteristic. AMS Mathematics Subject Classification (2000): 11E72.

In the paper under review, we analyze a class of abstract distributionally chaotic (multi-term) fractional differential equations in Banach spaces, associated with use of the Caputo fractional derivatives. AMS Mathematics Subject Classification (2010): 47A16, 47D03, 47D06, 47D99

Sato’s hyperfunctions are known to be represented as the boundary values of harmonic functions as well as those of holomorphic functions. The author obtains a bijective Poisson mapping P : S∗′(Rn) −→ S∗′(S∗Rn) ∩H(S∗Rn) where H(S∗Rn) is a kind of Hardy subspace of B(S∗Rn). Moreover, the author has an isomorphism between Sobolev spaces P : W (R) −→ W s+(n−1)/4(S∗Rn) ∩H(S∗Rn). There are some simil...

AMS Mathematics Subject Classification (2000): 46B03, 46B05