Analogs of single parametric aggregationiterative method for equations with non constant sign operators
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 4
Abstract
We establish sufficient conditions for the convergence of a class of one-parameter aggregation-iterative methods. Obtained results do not include conditions about positiveness of operators and aggregate functionals, and also claim that the corresponding linear continuous operators were contraction is not required.
Authors and Affiliations
M. Kopach, B. A. Shuvar
Keywords
Related Articles
- EP ID EP417139
- DOI -
- Views 76
- Downloads 0
COMPARISON THEOREM FOR NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS IN HILBERT SPACE
In the present paper, we will discuss a comparison result for solutions to the Cauchy problems for two stochastic differential equations with delay. On this subject number of authors have obtained their comparison result...
Stieltjes integral and summation formula
In the article we prove a generalized summation formula using the expanded definition of the Stieltjes integral.
ON A STRESS–STATE OF AN ELASTIC SEMI–STRIP UNDER MECHANICAL AND THERMAL STRESSES
The new methodic of plane elasticity problems’ solving for the semi-infinite strip under the mechanical and thermal pressures is considered in the article. The sense of it is the applying of the integral Fourier transfor...
About solvability of initial problem for differential equation with maximum
Initial value problem for differential equation with maximum is considered. Sufficient conditions of existence and uniqueness solution for this problem are presented.
About constant in Szego inequality for derivatives of conjugate trigonometric polynomials in L0.
We consider Szego inequality ˜ T(r) n 0 χ0 (n, r) ・ Tn 0 for derivatives of conjugate trigonometric polynomials in L0. We’ve found exact asymptotic by n estimation of constant χ0 (n, r) in it, improving estimates which...