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Registration Number

0215U003214, 0112U000372 , R & D reports

Title

Theory of Noetherian boundary value problems for the ordinary systems of differential, functional-differential and algebraic-differential equations

Head

Chujko Sergey Mihailovich,

Registration Date

21-01-2015

Organization

State Higher Educational Institution "DONBAS STATE PEDAGOGICAL UNIVERSITY

Description

In research we provided fundamental problems solution of elaboration of Noetherian boundary value problems classification for the ordinary systems of differential, functional-differential and algebraic-differential equations and also solution of classic extreme problems of function approximation theory. The subject of the research are the methods for finding the solutions of semi-nonlinear boundary-value problems and the periodic function classes of single and many real variables, classes of functions defined and locally integrable on the real axis and classes of functions which are holomorphic in Jordan domains of complex plane. The main aim of the research is devoted to the problem of finding constructive conditions of existence and construction of coinciding iteration algorithm for finding solutions of autonomous and non-autonomous semi-nonlinear boundary-value problems for the systems of differential equations and research of new approximation specification classic and special methods of approximation on the periodic function classes of single and many real variables on the classes of functions, which are analytic in single cycle of complex plane and research of specification of Lebeg plane with changeable indicator  and Orlich plane. The main results of the research are the theorems that have exhaustive proofs. The results have theoretical directivity and may be used in further researches in the theory of differential equations, for the constructive iteration procedure for the specific differential equations and also for getting the answer of different problems of technique, economics, biology and other science.

Product Description

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Нєсмєлова Ольга Володимирівна
Савчук Віктор Васильович
Чайченко Станіслав Олегович
Чуйко Олена Вікторівна
Шидліч Андрій Любомирович