Автореферат (1155101), страница 6
Текст из файла (страница 6)
Полученныерезультаты являются распространением теории функционально-дифференциальныхуравнений с класса уравнений запаздывающего и нейтрального типов на уравненияопережающего типа.Akbari Fallahi A.The problem with initial data for difference-differential equations with advanceAbstractDifference-differential equations arise in many problems of mathematical physics andoptimal control. Difference-differential equations of advanced type are more unknown objectwith respect to the difference-differential equations of retarded and neutral type. The aimof dissertation is the investigation of well-posedness of the problem with initial data fordifference-differential equation of advanced type. The new sufficient and necessary conditionof correct solvability of the problem with initial data for considered difference-differentialequations in the weighted Sobolev space are obtained. The convergence of the solutions ofthe problem with initial data for difference-differential equations to the solution of the Cauchyproblem for ordinary differential equation as the value of argument deviation tends to zerois proved.
The obtained results are the propagation of the theory of functional differentialequations for class of reterded and neutral types onto equations of advanced type.– 19 –.
![](https://s.studizba.com/z.php?f=/templates/si/i/noavatar.png&w=100&h=100&t=1"){kind=avatar}
