Sequences of semigroups of nonlinear operators and their applications to study the cauchy problem for parabolic equations
Journal Title: Вісник Тернопільського національного технічного університету - Year 2016, Vol 84, Issue 4
Abstract
We consider the operator function of exponential type, studied the link between these functions (semigroup) and Cauchy problem for differential parabolic equation. We establish conditions under which the semigroup is associated with Cauchy problem; we investigate semigroups sequences and their convergence to function of exponential type which is semigroup. We consider maximal dissipative operators and maximum semigroups. We study the problem of existence of the solution of nonlinear partial differential equations of parabolic type with measurable coefficients, nonlinear term which satisfies the forms – bouded conditions
Authors and Affiliations
Mikola Yaremenko
Keywords
Related Articles
- EP ID EP265423
- DOI -
- Views 66
- Downloads 0
Analysis of dynamics of adaptive three edge heads with elastic guides and electromagnetic drives
The paper deals with the dynamics analysis of the developed by the authors three edge head with elastic guides and electromagnetic drives in order to compare their operation dynamic features against the single tool machi...
Evaluation of the structures metal damage under the static and cyclic loadings according to the coersive force value
The results of experimental investigations of the damage degree of the ferromagnetic steel 05kp and austenitic (paramagnetic in the initial state) steel АISI 304 under the static and cyclic loading according to the coerc...
Mechanical properties of γ -TiAl alloy after shot peening
Currently, the alloys based on the titanium aluminide are in the great demand in the aerospace industry. This research project studies the mechanical properties of the γ-TiAl alloy with a high content of niobium and the...
Method of analysis errors of measuring conversion of impedance spectroscopy with activation nonharmonic signals
In this paper, we examine the peculiarities of SPICE simulation measuring transducers impedance spectroscopy. Based on results of modeling research proposed the method of analysis errors measured values of active and rea...
Quality of turning using multiedge heads with elastic guiedes and elctromagnetic drives
The paper deals with experimental facilities including adaptive type multi edge head with elastic guides for fine turning. The adjustment of the head cutting edges positions in the process of machining is performed by tw...