Computational Experiment for One Class of Evolution Mathematical Models in Quasi-Sobolev Spaces
Copyright policy )Computational Experiment for One Class of Evolution Mathematical Models in Quasi-Sobolev Spaces
Summary: In the article the mathematical model representing one class of evolution equations in quasi-Banach spaces is studied. A theorem on the unique solvability of the Cauchy problem is stated. The conditions for the phase space existence are presented. We also give the conditions for exponential dichotomies of solutions. Based on the theoretical results there was developed an algorithm for the numerical solution of the problem. The algorithm is implemented in Maple. The article includes description of the algorithm which is illustrated by variety of model examples showing the work of the developed program and represent the main properties of solutions.
- Ural State Medical University Russian Federation
- South Ural State University (Южно-Уральский государственный университет) Russian Federation
- South Ural State University Russian Federation
EVOLUTION EQUATION,QUASI-BANACH SPACES,NUMERICAL SOLUTION,ЭВОЛЮЦИОННОЕ УРАВНЕНИЕ,КВАЗИБАНАХОВЫ ПРОСТРАНСТВА,ЧИСЛЕННОЕ РЕШЕНИЕ, numerical solution, evolution equation, УДК 517.9, Numerical methods for ordinary differential equations, квазибанаховы пространства, численное решение, эволюционное уравнение, quasi-Banach spaces
EVOLUTION EQUATION,QUASI-BANACH SPACES,NUMERICAL SOLUTION,ЭВОЛЮЦИОННОЕ УРАВНЕНИЕ,КВАЗИБАНАХОВЫ ПРОСТРАНСТВА,ЧИСЛЕННОЕ РЕШЕНИЕ, numerical solution, evolution equation, УДК 517.9, Numerical methods for ordinary differential equations, квазибанаховы пространства, численное решение, эволюционное уравнение, quasi-Banach spaces
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