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The Pontryagin Maximum Principle Foroptimal Control Problem with an Asymptotic Endpoint Constraint Under Weak Regularity Assumptions
We present a version of the Pontryagin maximum principle for the general infinitehorizon optimal control problem with an additional specific...
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Maximum Principle for an Optimal Control Problem with an Asymptotic Endpoint Constraint
Under conditions characterizing the dominance of the discounting factor, a complete version of the Pontryagin maximum principle for an optimal...
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Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: Effects of different bases
When one solves differential equations by a spectral method, it is often convenient to shift from Chebyshev polynomials T n ( x ) with coefficients a n to...
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Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions
We consider an infinite-horizon optimal control problem with an asymptotic terminal constraint. For the weakly overtaking criterion and the...
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Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems
AbstractAn infinite horizon optimal control problem with general endpoint constraints is reduced to a family of standard problems on finite time...
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On the Available Local Asymptotic Efficiency of some Goodness-of-fit Criteria
The concept of local asymptotic Bahadur optimality for a sequence of statistics is well known. The following problem was posed, and in many cases...
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Asymptotic isospectrality of Schrödinger operators on periodic graphs
We consider discrete Schrödinger operators with periodic potentials on periodic graphs. Their spectra consist of a finite number of bands. We perturb...
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The Global Classical Solution and Asymptotic Behavior of the Cauchy Problem for Hyperbolic Monge-Ampère Equation
This paper is concerned with the hyperbolic partial differential equations of Monge-Ampère type with two independent variables. When the coefficients...
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Singularly Perturbed Problems with Multi-Tempo Fast Variables
AbstractThe article contains a survey of publications studying problems characterized by the presence of fast variables with various rates of change...
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Parasitic Eigenvalues of Spectral Problems for the Laplacian with Third-Type Boundary Conditions
AbstractSpectral problems for the Laplacian with Robin and Steklov (third-type) boundary conditions on a smooth boundary of a plane domain are...
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Quickest Changepoint Detection in General Multistream Stochastic Models: Recent Results, Applications and Future Challenges
Modern information systems generate large volumes of data with anomalies that occur at unknown points in time and have to be detected quickly and...
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A mathematical model for axonal transport of large cargo vesicles
In this study, we consider axonal transport of large cargo vesicles characterised by transient expansion of the axon shaft. Our goal is to formulate...
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Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC
We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal...
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Nonstationary Navier-Stokes Equations in Tube Structures
Chapter Nonstationary Navier–Stokes Equations in Tube Structures formulates the nonstationary initial boundary value problem for the Navier–Stokes...
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Non-standard Green energy problems in the complex plane
We consider several non-standard discrete and continuous Green energy problems in the complex plane and study the asymptotic relations between their...
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Asymptotics of Hermite–Padé approximants of the First Type for Discrete Meixner Measures
AbstractAsymptotics of Hermite–Padé approximants of the first type for Weil functions of discrete Meixner measure and its derivative is studied. We...
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Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies
A phase field approach for structural topology optimization with application to additive manufacturing is analyzed. The main novelty is the...
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Small polygons with large area
A polygon is small if it has unit diameter. The maximal area of a small polygon with a fixed number of sides n is not known when n is even and
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