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2022

ON THE CONTINUOUS DEPENDENCE OF DECISIONS OF DIFFERENTIAL EQUATIONS ON INITIAL DATA AND COEFFICIENTS

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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(61). YEAR OF ISSUE: 2022. LANGUAGE OF THE ARTICLE: Tajik

 

ANNOTATION

The article studies the problem of the continuous dependence of the solutions of differential equations on the initial data and coefficients given in the space of integrable functions. The corresponding theorem is proved, as well as an auxiliary lemma generalizing the Gronwall-Bellman inequality.

 

 

KEY WORDS

linear differential equations, Cauchy problem, integral inequalities, integral convergence, uniformly integral convergence.