The paper considers the existence and uniqueness of almost automorphic mild solutions to some classes of first-order partial neutral functional-differential equations. Sufficient conditions for the existence and uniqueness ...

The paper establishes the existence and uniqueness of asymptotically almost automorphic mild solution to an abstract partial neutral integro-differential equation with unbounded delay. An example is given to illustrate our ...

A loop is said to be automorphic if its inner mappings are automorphisms. For a prime p, denote by A(p) the class of all 2-generated commutative automorphic loops Q possessing a central subloop Z congruent to Z(p) such ...

Sea F un cuerpo de números totalmente real de dimensión d sobre los racionales Q, O_F el anillo de enteros y Gamma(I) un subgrupo de congruencia de Hecke de GL_2(R). Para cada ideal primo p en O_F, p no divida a I, p un ...

Let A be a finitely generated abelian group. We describe the automorphism group Aut(A) using the rank of A and its torsion part p-part A(p). For a finite abelian p-group A of type (k(1),..., k(n)), simple necessary and ...

Existence of almost automorphic solutions for abstract delayed differential equations is established. Using ergodicity, exponential dichotomy and Bi-almost automorphicity on the homogeneous part, sufficient conditions for ...

We study almost automorphic solutions of recurrence relations with values in a Banach space V for quasilinear almost automorphic difference systems. Its linear part is a constant bounded linear operator A defined on V ...

For k,s≥2, the s-stable Kneser graphs are the graphs with vertex set the k-subsets S of {1,…,n} such that the circular distance between any two elements in S is at least s and two vertices are adjacent if and only if the ...