In the present paper, t-generalized supplemented modules are defined starting from the generalized ⨁-supplemented modules. In addition, we present examples separating the t-generalized supplemented modules, supplemented ...

We investigate the numerical solutions of nonlinear Volterra integral equations by the block-by-block method especially useful for the solution of integral equations on large-size intervals. A convergence theorem is proved ...

We compute the energy of a unit normal vector field on a Riemannian surface M. It is shown that the energy of the unit normal vector field is independent of the choice of an orthogonal basis in the tangent space. We also ...

We derive an explicit formula for the Jacobi field that is acting in an extended Fock space and corresponds to an ( R -valued) Lévy process on a Riemannian manifold. The support of the measure of jumps in the Lévy–Khintchine ...

This paper is concerned with positive linear operators based on a q-integer. The rate of covergence of these operators are established. For these operators, we give Voronovskaya-type theorems and apply them to q Bernstein ...

For a group G and a natural number m, a subset A of G is called m-thin if, for each finite subset F of G, there exists a finite subset K of G such that |Fg ∩ A| ≤ m for all g ∈ G \ K. We show that each m-thin subset of an ...

The necessary and sufficient conditions for existence on manifolds of the dynamical systems having non-wandering set consisting of disconnected union of 2-dimensional tori with hyperbolic structure are given

It is known that the pseudoarc can be constructed as the inverse limit of the copies of [0, 1] with one bonding map f which is topologically exact. On the other hand, the shift homeomorphism σ f is topologically mixing in ...

We give a definition of nonstationary attractors that can originally exist in spaces of control processes and formulate topological conditions for an arbitrary set to belong to the class of nonstationary attractors. We ...