Multipoint nonlocal problem for factorized equation with dependent coefficients in conditions
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 1
Abstract
The conditions of correct solvability of multipoint nonlocal problem for factorized PDE with coefficients in conditions, which depends on one real parameter, is established. It is shown that these conditions on the set of fullLebesgue measure of the interval parameters are fulfilled.
Authors and Affiliations
P. B. Vasylyshyn, I. Ya. Savka, I. S. Klyus
Unconventional analogs of single-parametric method of iterational aggregation
When we solve practical problems that arise, for example, in mathematical economics, in the theory of Markov processes, it is often necessary to use the decomposition of operator equations using methods of iterative aggr...
A multidimensional generalization of the Rutishauser qd-algorithm
In this paper the regular multidimensional C-fraction with independent variables, which is a generalization of regular C-fraction, is considered. An algorithm of calculation of the coefficients of the regular multidimens...
Superextensions of three-element semigroups
A family $\mathcal{A}$ of non-empty subsets of a set $X$ is called an {\em upfamily} if for each set $A\in\mathcal{A}$ any set $B\supset A$ belongs to $\mathcal{A}$. An upfamily $\mathcal L$ of subsets of $X$ is said to...
Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$
We introduce block-symmetric polynomials on $(L_\infty)^2$ and prove that every continuous block-symmetric polynomial of degree at most two on $(L_\infty)^2$ can be uniquely represented by some "elementary" block-symmetr...
Parabolic by Shilov systems with variable coefficients
Because of the parabolic instability of the Shilov systems to change their coefficients, the definition parabolicity of Shilov for systems with time-dependent $t$ coefficients, unlike the definition parabolicity of Petro...