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Approximate calculation of functionality of quality at known operating influences for quazilinear partial difference equation of the first order

T. K. Yuldashev M. A. Dovgiy1

AnnotationIt is proposed in this paper a method of approximate studying the quasilinear partial difference equation of first order and approximate calculation of functionality of quality at known operating influences. With the help of a nonlinear discrete method of characteristics the problem reduces to the study of nonlinear summary equation. Further, we use the discrete analog of the method of successive approximation.
KeywordsOptimal control, difference equation, summary equation, method of successive approximation, minimization of functional.

1Associate professor of Higher Mathematics Chair, M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk, tursunbay@rambler.ru;

2Student of Institute of Informatics and Telecommunication, M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk

Citation: T. K. Yuldashev M. A. Dovgiy, "[Approximate calculation of functionality of quality at known operating influences for quazilinear partial difference equation of the first order]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 145–151 (In Russian)