Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Belbas, S. A."'
Autor:
Belbas, S. A.
We formulate nonlinear nonlocal integro-PDE with memory, biloaded (boundary integrals load the ambient space, and the ambient space loads the boundary), and the associated optimal control problems. We derive part of the necessary conditions for optim
Externí odkaz:
http://arxiv.org/abs/2406.00248
Autor:
Belbas, S. A.
We study linear-quadratic optimal control problems for Voterra systems, and problems that are linear-quadratic in the control but generally nonlinear in the state. In the case of linear-quadratic Volterra control, we obtain sharp necessary and suffic
Externí odkaz:
http://arxiv.org/abs/2101.04902
Autor:
Belbas, S. A.
We formulate and analyze game-theoretic problems for systems governed by integral equations. For Volterra integral equations, we obtain and prove necessary and sufficient conditions for linear-quadratic problems, and for problems that are linear-quad
Externí odkaz:
http://arxiv.org/abs/1906.10778
Autor:
Belbas, S. A.
We analyze optimal control problems for multiple Fredholm and Volterra integral equations. These are non Pontryaginian optimal control problems, i.e. an extremum principle of Pontryagin type does not hold. We obtain first order necessary conditions f
Externí odkaz:
http://arxiv.org/abs/1904.06561
Autor:
Belbas, S. A., Schmidt, W. H.
We present a number of cases of optimal control of Volterra and Fredholm integral equations that are solvable in the sense that the problem can be reduced to a solvable integral equation. This is conceptually analogous to the role of the Riccati diff
Externí odkaz:
http://arxiv.org/abs/1606.05803
Autor:
Belbas, S. A.
We study the extension of Hill's method of infinite determinants to the case of integro-differential equations with periodic coefficients and kernels. We develop the analytical theory of such methods, and we obtain certain qualitative properties of t
Externí odkaz:
http://arxiv.org/abs/1205.5302
Autor:
Belbas, S. A.
We give two elementary proofs, at a level understandable by students with only pre-calculus knowledge of Algebra, of the well known fact that an irreducible irrational n-th root of a positive rational number cannot be solution of a polynomial of degr
Externí odkaz:
http://arxiv.org/abs/0908.0157
Autor:
Belbas, S. A., Bulka, Yuriy
We analyze a discretization method for solving nonlinear integral equations that contain multiple integrals. These equations include integral equations with a Volterra series, instead of a single integral term, on one side of the equation. We prove e
Externí odkaz:
http://arxiv.org/abs/0809.3049
Autor:
Belbas, S. A.
We develop a numerical method for solving a system of nonlinear integral equations involving two integral terms: at the current time t, one integral is taken from 0 to t, and a different integral is taken from t to infinity. We prove the convergence
Externí odkaz:
http://arxiv.org/abs/0809.2125
Autor:
Belbas, S. A., Kim, Young Hee
We formulate and analyze a new model of vector hysteresis for the case of two-dimensional input signals. We prove certain properties of this model and we present the solutions to two identification problems connected with our model.
Externí odkaz:
http://arxiv.org/abs/0804.4248