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

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978-3-031-28507-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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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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,Local Bifurcations of Periodic Traveling Waves in the Generalized Weakly Dissipative Ginzburg-Landazburg-Landau equation differs from the traditional version by replacing the cubic nonlinearity with nonlinearity of arbitrary odd degree. We will show that the periodic boundary value problem has a countable set of solutions that are single-mode and periodic in the evolutionary variable. We will exa
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Axiomatic Method for Constructing a Generalized Solution of a Mixed Problem for a Telegraph Equatioequation considered in a half-band. Reviewed the case of an essentially non-self-adjoint operator in a spatial variable. The system of root functions of a differential operator, in addition to its eigenfunctions, contains an infinite number of associated functions. The constructed series can be cons
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,Convergence Rates of a Finite Difference Method for the Fractional Subdiffusion Equations,e an implicit difference scheme and an explicit difference scheme by using the projection method in space and a finite difference method which was proposed by Ashyralyev in time. Combining the method of functional analysis and the technique of numerical analysis, we utilize the idea of layering in t
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