Yu. L. Menshikov


The inverse problems for dierential equations are investigated, the solutions
of which do not use information about the exact characteristics of the physical process. Such inverse problems have not yet become widespread, but they are of great practical importance. Some approaches to solving inverse problems of this type are suggested.

Ключові слова

dierential equations,inverse problems, classication, solution algorithms

Повний текст:

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N. I. Akhieser, Lectures on Approximation Theory, Moscow, Nauka, 1965.

L. Beilina, M. V. Klibanov, Synthesis of global convergence and adaptivity for a hyperbolic coecient inverse problem in 3D, Journal Inverse Ill-Posed Problems, (18) (2010),85-132.

V. Canndola, Anomaly detection: A survey, ACM Computing Surveys (CSUR), 41 (2008), 1-15.

G. Dreyfus, Neural networks: methodology and applications, Springer Science and Business Media, USA, 2005.

Yu. Fan, Yu. Wejun, Multi-fault diagnosis for industrial processes based on hybrid dynamic bayesian network, Proceedings of the IASTED International Conference Modelling, Identification and Control (MIC 2013), 2013, February 11-13, Innsbruck, Austria, (2013), 501-506.

A. Goncharski, A. Leonov, A. Yagola, On a regularizing algorithm for illposed problems with an approximately given operator, Journal of Computational Mathematics and Mathematical Physics, 12 (6) (1972), 1592-1594.

C. I. Kabanichin, Inverse and ill-posed problems, Novosibirsk, Siberian Scientific Publishing House, 2009.

À. B. Kurzhansky, Control and Observation under Conditions of Uncertainties, Moscow, Nauka, 1977.

Yu. L. Menshikov, Inverse problems for dynamic systems: classication and solution methods, Journal Advances in Pure Mathematics, 3 4 (2013), 390-399.

Yu. L. Menshikov, Inverse Problems of Synthesis: Basic Features, Proc. of 8th International Conference on Inverse Problems, Kracow, Poland, 12-15 May, 2014, 107-108.

Yu. L. Menshikov, Synthesis of Adequate Mathematical Description as Solution of Special Inverse Problems, European Journal of Mathematical Science, 2 (3) (2013), 256-271.

Yu. L. Menshikov, Inverse Problem of Astrodynamics, World Journal Mechanics, 5 (2015), 249-256.

Yu. L. Menshikov, Identication of external loads on mechanical systems by the regularization method, The thesis abstract, Kharkov, Ukraine, 1978.

Yu. L. Menshikov, One approach to solutions of measurement's inverse problems, Journal Mathematical Inverse Problems, 1 (2) (2014), 71-85.

P. Nedyalko, I. Jordanov, Gap analysis and optimization of Hydroprocessing prediction model, Proceedings of the IASTED International Conference and 2013 Applications Artificial Intelligence (AIA 3), February 11-13, Innsbruck, Austria, (2013), 7.

Fu. Shual, J. Yong, Xu. Shiqi, Zh. Kai, J. Yi, Prediction of air pollution in Changchun based on OSR method, World Journal of Modeling and Simulation, 13 (1) (2017), 12-18.

A. N. Tikhonov, V. Y. Arsenin, Methods of incorrect problems solution, Nauka, Moscow, 1979.

A. N. Tikhonov, On the approximate functional equations of the rst kind , Proc. of Mathematical Institute AS USSR, 158 (1981), 197-202.

F. P. Vasilev, Methods of Extreme Problems Solution, Nauka, Moscow, 1981.

DOI: http://dx.doi.org/10.15421/141806


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