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Your search keyword '"I. V. Astashova"' showing total 2 results
Start Over Author "I. V. Astashova" Journal tatra mountains mathematical publications
2 results on '"I. V. Astashova"'

1. On The Dense Controllability for The Parabolic Problem with Time-Distributed Functional

Author

Alexey Filinovskiy and I. V. Astashova

Subjects
Controllability, General Mathematics, 010102 general mathematics, 0202 electrical engineering, electronic engineering, information engineering, Parabolic problem, Applied mathematics, 020201 artificial intelligence & image processing, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Mathematics
Abstract

We consider a control problem for one-dimensional heat equation with quadratic cost functional. We prove the existence and uniqueness of a control function from a prescribed set, and study the structure of the set of accessible temperature functions. We also prove the dense controllability of the problem for some set of control functions.

Published
2018
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2. On asymptotic equivalence of nth order nonlinear differential equations

Author

I. V. Astashova

Subjects
General Mathematics, Mathematical analysis, Order (group theory), Equivalence (measure theory), Nonlinear differential equations, Mathematics
Abstract

This paper is devoted to the problem of asymptotic equivalence of nth order differential equations with exponentially equivalent right-hand sides. With the help of this result asymptotic behaviour of solutions to nonhomogeneous differential equations is described

Published
2015
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