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Open AccessMitochondrion-targeted antioxidant SkQ1 prevents rapid animal death caused by highly diverse shocks
The response to stress involves the activation of pathways leading either to protection from the stress origin, eventually resulting in development of stress resistance, or activation of the rapid death of the...
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Article
Optimization Inverse Spectral Problem for a Vector Sturm–Liouville Operator
We consider the following optimization inverse spectral problem: for a given matrix potential \(Q_0(x) \) , find a ma...
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Article
A Mathematical Model to Predict Global Demographic Dynamics in the Age of Intelligent Machines
The global demographic transition and phenomenological models of demographic dynamics by S.P. Kapitsa and B.M. Dolgonosov are considered, which are based on the principles of the demographic and information im...
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Article
Orthorecursive Expansions and Their Properties
This paper is devoted to orthorecursive expansions introduced in 1999, which generalize the notion of orthogonal expansions. We present main results obtained over the last 20 years concerning properties of ort...
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Article
The Galvanic Correction of the Gaze Stabilization Neural Control: Part 1
The article shows a theoretical (part 1) improvement in the stabilization of the gaze in galvanic vestibular stimulation.
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Article
Mathematical Modeling of the Information Process in the Angular Acceleration Biosensor
A mathematical model of the formation of output information in a biosensor of angular acceleration is presented. The functional and numerical parameters of the model have been determined by results of experime...
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Article
The Human Component as a Determining Factor of Labor Productivity in the Digital Economy
The article provides evidence that most of the cognitive work in the digital age will continue to be reserved for human labor, since this kind of work can generally be fragmented into nonprogrammable tasks (50...
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Article
Degenerate Three-Point Boundary Conditions
For the differential equation \(y^{\prime \prime \prime }(x)=\lambda y(x) \) on the interval
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Article
Reconstruction of Nonsplitting Boundary Conditions of the Sturm–Liouville Operator from a Minimal Set of Eigenvalues
We study the inverse spectral problem of reconstructing nonsplitting boundary conditions for the Sturm–Liouville operator from a minimal amount of spectral data. Necessary and sufficient conditions are derive...
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Article
Degenerate Boundary Conditions for the Diffusion Operator on a Geometric Graph
We study boundary conditions for the diffusion operator defined on a star-shaped geometric graph consisting of three edges with a common vertex. We show that if the edge lengths are pairwise distinct, then th...
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Article
Vasilii Vasilievich Zhikov
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Article
On the Choice of Mathematical Models for Describing the Dynamics of Digital Economy
In neoclassical economic theory, the dynamics of development is mainly described by the Solow production function (Solow model), which determines the growth of the aggregate income of a country or an individua...
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Article
Degenerate Boundary Conditions for the Sturm-Liouville Problem on a Geometric Graph
We study the boundary conditions of the Sturm-Liouville problem posed on a star-shaped geometric graph consisting of three edges with a common vertex. We show that the Sturm-Liouville problem has no degenerate...
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Article
Inverse Sturm-Liouville Problem with Nonseparated Boundary Conditions on a Geometric Graph
The inverse Sturm-Liouville problem with nonseparated boundary conditions on a star-shaped geometric graph consisting of three edges with a common vertex is studied. It is shown that the Sturm-Liouville proble...
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Article
Galvanic Correction of Pilot’s Vestibular Activity during Visual Flight Control
The application of galvanic vestibular stimulation is considered for the galvanic correction of pilot’s vestibular activity during visual flight control on a flight-dynamic stand and in extreme flight situations.
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Article
On the Hyperbolicity of Toral Endomorphisms
Nonsingular endomorphisms of the m-torus \(\mathbb{T}\) ...
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On a Mathematical Model of Biological Self-Organization
A system of two generalized Hutchinson’s equations coupled by linear diffusion terms is considered. It is established that for an appropriate choice of parameters, the system has a stable relaxation cycle whos...
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Article
Monitoring of Natural and Technogenic Space Hazards: Results of the Lomonosov Mission and Universat-SOCRAT Project
The results of experiments onboard the Lomonosov satellite on observing natural and technogenic space hazards including electromagnetic transients and space debris are discussed. A new space project Universat-SOC...
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Article
Inverse Problem for a Fourth-Order Differential Operator with Nonseparated Boundary Conditions
Uniqueness theorems are proved for two inverse problems for a fourth-order differential operator with nonseparated boundary conditions. The first of the problems, which has technical applications, is the probl...
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Article
Mathematical Models for Calculating the Development Dynamics in the Era of Digital Economy
Mathematical models for practical calculations of technological progress (total productivity of production factors) and economic growth in the era of widespread digitalization and robotization of national econ...
