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EVALUATION OF DECISIONS OF DIFFERENTIAL EQUATIONS IN THE SPACE SUMMED ON FINITE CUT OF FUNCTIONS
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Ziyomidinov Bahodur MirzomidinovichEVALUATION OF DECISIONS OF DIFFERENTIAL EQUATIONS IN THE SPACE SUMMED ON FINITE CUT OF FUNCTIONS 46
Authors: Ziyomidinov Bahodur Mirzomidinovich - Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Mathematical Disciplines and Modern Natural Sciences. Tajik State University of Law, Business and Politics.
JOURNAL NUMBER: 2(65). YEAR OF ISSUE: 2023. LANGUAGE OF THE ARTICLE: Tajik
ANNOTATION
This article studies the problem of estimating the norms of solutions of a system of differential equations of the mth order in the space of functions summable over a finite interval. It is proved that the norm of a solution in the space m-1 of differentiable functions for which the derivative of the m-1st order is absolutely continuous can be estimate in terms of the sum of the norms of the solution and the right-hand side in the space of summable functions.
KEY WORDS
inear system of higher order differential equations, spaces of summable functions estimates of solutions, Cauchy problem.