Results 1 to 10 of about 299,083 (267)

Application of the Averaging Method to the Optimal Control of Parabolic Differential Inclusions on the Semi-Axis

open access: yesAxioms
In this paper, we use the averaging method to find an approximate solution for the optimal control of parabolic differential inclusion with fast-oscillating coefficients on a semi-axis.
Nina Kasimova, Petro Feketa
doaj   +3 more sources

Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The method of averaging is applied to study the existence of solutions of boundary value problems for systems of differential equations with non-fixed moments of impulse action.
O.M. Stanzhytskyi   +3 more
doaj   +1 more source

Approximate Optimal Control for a Parabolic System with Perturbations in the Coefficients on the Half-Axis

open access: yesAxioms, 2022
In this paper, we use the averaging method to find an approximate solution in the optimal control problem of a parabolic system with non-linearity of the form f(t/ε,y) on an infinite time interval.
Olena A. Kapustian   +3 more
doaj   +1 more source

On Strutinsky's averaging method [PDF]

open access: yesNuclear Physics A, 1973
Abstract The averaging procedure in Strutinsky's method of shell corrections is formulated for a general type of averaging function. In the case of the harmonic-oscillator potential, the method is proved analytically to give the same results as semiclassical methods. For the infinite-rectangular-box potential, an uncertainty in the value of the shell
Brack, Matthias, Pauli, H. C.
openaire   +2 more sources

Evolution of the rotational motion of a viscoelastic planet with a core on an elliptical orbit

open access: yesРоссийский технологический журнал, 2021
The work is devoted to the study of the evolution of the rotational motion of a planet in the central Newtonian field of forces. The planet is modeled by a body consisting of a solid core and a viscoelastic shell rigidly attached to it.
A. A. Shatina, A. V. Starostina
doaj   +1 more source

On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
This paper presents new results on the bifurcation of medium and small limit cycles from the periodic orbits surrounding a cubic center or from the cubic center that have a rational first integral of degree 2 respectively, when they are perturbed inside ...
Bo Huang
doaj   +1 more source

Non-contact atomic force microscope: Modeling and simulation using van der Pol averaging method [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2021
Topic and aim. One of the tools which are extremely useful and valuable for creating a topography of surfaces, measuring forces, and manipulating material with nano-meter-scale features is the Atomic force microscope (AFM).
Bahrami, Mohammad Reza
doaj   +1 more source

The partial averaging method [PDF]

open access: yesJournal of Mathematical Physics, 2003
The partial averaging technique is defined and used in conjunction with the random series implementation of the Feynman–Kaç formula. It enjoys certain properties such as good rates of convergence and convergence for potentials with coulombic singularities.
openaire   +3 more sources

THE INFLUENCE OF THE GRAVITATIONAL PERTURBATIONS OF THE SOLAR SYSTEM PLANETS ON THE EVOLUTION OF THEIR ORBITS’ ECCENTRICITIES AND INCLINATIONS

open access: yesРоссийский технологический журнал, 2017
In the paper the classic problem of N bodies is treated as if the mass of one body (the Sun) is much larger than the mass of the rest mutually gravitating bodies. We take as the unperturbed motion the movement of a planet in an elliptical orbit, with the
N. A. Akulova   +2 more
doaj   +1 more source

Discretization in the method of averaging [PDF]

open access: yesProceedings of the American Mathematical Society, 1991
Let f : R ×
openaire   +2 more sources

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