Oybek Zhumaboyevich Khudayberdiyev
Navoi State Mining Institute Navoiy, Republic of Uzbekistan
DOI : https://doi.org/10.47191/ijmra/v4-i10-13Google Scholar Download Pdf
ABSTRACT:
This article discusses the interval variant of solving ordinary differential equations with given initial conditions, i.e. the Cauchy problem, by the method of operational calculus. This is where the interval version of the operational calculus is motivated and built. As a result, on the basis of the proved theorem in this article, an analytic interval set of solutions is obtained that is guaranteed to contain a real solution to the problem.
KeywordsOrdinary differential equation, real solution, interval, interval solution, interval arithmetic, full Caucher interval arithmetic, extension function, width function, interval-valued function, original, image, Laplace transform, operational calculus method.
REFERENCES
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3) Piskunov N. P. Differential and integral calculus. Volume 2: Textbook for technical colleges. Moscow: Nauka-2008.-560s.
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VOLUME 04 ISSUE 10 OCTOBER 2021
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