Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Konjik, Sanja"'
We consider a terminal control problem for processes governed by a nonlinear system of fractional ODEs. In order to show existence of the control, we first consider the linear counterpart of the system and reprove a number of classical theorems in th
Externí odkaz:
http://arxiv.org/abs/2212.12692
We consider exact and averaged control problem for a system of quasi-linear ODEs and SDEs with a non-negative definite symmetric matrix of the system. The strategy of the proof is the standard linearization of the system by fixing the function appear
Externí odkaz:
http://arxiv.org/abs/2106.07585
Publikováno v:
In IFAC PapersOnLine 2024 58(12):1-6
Publikováno v:
Z. Angew. Math. Phys. (2019) 70: 51
Distributed order fractional model of viscoelastic body is used in order to describe wave propagation in infinite media. Existence and uniqueness of fundamental solution to the generalized Cauchy problem, corresponding to fractional wave equation, is
Externí odkaz:
http://arxiv.org/abs/1709.01339
We study waves in a viscoelastic rod whose constitutive equation is of generalized Zener type that contains fractional derivatives of complex order. The restrictions following from the Second Law of Thermodynamics are derived. The initial-boundary va
Externí odkaz:
http://arxiv.org/abs/1605.02165
We introduce complex order fractional derivatives in models that describe viscoelastic materials. This can not be carried out unrestrictedly, and therefore we derive, for the first time, real valued compatibility constraints, as well as physical cons
Externí odkaz:
http://arxiv.org/abs/1407.8294
Publikováno v:
Pseudo-differential operators and generalized functions, 119-132, Oper. Theory Adv. Appl., 245, Birkhaeuser, Springer, Cham, 2015
We introduce non-smooth symplectic forms on manifolds and describe corresponding Poisson structures on the algebra of Colombeau generalized functions. This is achieved by establishing an extension of the classical map of smooth functions to Hamiltoni
Externí odkaz:
http://arxiv.org/abs/1403.0234
Publikováno v:
Comm. Algebra 42: 3358-3577, 2014
We study symplectic linear algebra over the ring $\Rt$ of Colombeau generalized numbers. Due to the algebraic properties of $\Rt$ it is possible to preserve a number of central results of classical symplectic linear algebra. In particular, we constru
Externí odkaz:
http://arxiv.org/abs/1211.2629
We study the initial-boundary value problem for an Euler-Bernoulli beam model with discontinuous bending stiffness laying on a viscoelastic foundation and subjected to an axial force and an external load both of Dirac-type. The corresponding model eq
Externí odkaz:
http://arxiv.org/abs/1102.2148
Publikováno v:
J. Phys. A, Math. Theor., 43, 255203(12pp), 2010
We generalize Hamilton's principle with fractional derivatives in Lagrangian $L(t,y(t),{}_0D_t^\al y(t),\alpha)$ so that the function $y$ and the order of fractional derivative $\alpha$ are varied in the minimization procedure. We derive stationarity
Externí odkaz:
http://arxiv.org/abs/1101.2963