Titlebook: Differential Equations, Mathematical Modeling and Computational Algorithms; DEMMCA 2021, Belgoro Vladimir Vasilyev Conference proceedings 2

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,On Sufficient Conditions of?the Faddeev–Marchenko Theorem,equation on the entire axis along the given linear ratios between the Jost functions. These conditions are formulated in terms of so-called reflection coefficient within the framework of the corresponding weighted Holder spaces on the real line with power behavior at infinity.

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,Variational Approach to?Construction of?Piecewise-Constant Approximations of?the?Solution of?Dynamiction is performed in real time using known discrete inaccurate measurements of the observed trajectory of the system. This trajectory is generated by an unknown measurable control that satisfies known geometric constraints. A well-posed statement of the problem is given. A solution is proposed usin

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,Discrete Operators and?Equations: Analysis and?Comparison, for manifolds with non-smooth boundaries. Using digitization process for ordinary functional spaces we construct certain discrete functional spaces or spaces of functions of a discrete variable and define discrete pseudo-differential operators acting in such spaces. A main problem in which we are i

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