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Wyświetlanie 1-15 z 41
Tytuł:
A new composition theorem for sp-weighted pseudo almost periodic functions and applications to semilinear differential equations
Autorzy:
Zhao, Z.
Chang, Y.
N'Guerekata, G. M.
Powiązania:
https://bibliotekanauki.pl/articles/256044.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Sp-weighted pseudo almost periodic
weighted pseudo almost periodicity
semilinear differential equations
Opis:
In this paper, we establish a new composition theorem for Sp-weighted pseudo almost periodic functions under weaker conditions than the Lipschitz ones currently encountered in the literatures. We apply this new composition theorem along with the Schauder's fixed point theorem to obtain new existence theorems for weighted pseudo almost periodic mild solutions to a semilinear differential equation in a Banach space.
Źródło:
Opuscula Mathematica; 2011, 31, 3; 457-474
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A viability result for nonconvex semilinear functional differential inclusions
Autorzy:
Lupulescu, Vasile
Necula, Mihai
Powiązania:
https://bibliotekanauki.pl/articles/729593.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
viability
invariance
tangency condition
semilinear differential inclusions
Opis:
We establish some sufficient conditions in order that a given locally closed subset of a separable Banach space be a viable domain for a semilinear functional differential inclusion, using a tangency condition involving a semigroup generated by a linear operator.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2005, 25, 1; 109-128
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An abstract semilinear first order differential equation in the hyperbolic case
Autorzy:
Bochenek, Jan
Powiązania:
https://bibliotekanauki.pl/articles/1311559.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
semilinear initial value problem
stable family of operators
hyperbolic case
Opis:
This paper is devoted to the investigation of the abstract semilinear initial value problem $du/dt = A(t)u + f(t,u), u(0) = u_0$, in the "hyperbolic" case.
Źródło:
Annales Polonici Mathematici; 1995, 61, 1; 13-23
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An existence result for impulsive functional differential inclusions in Banach spaces
Autorzy:
Benedetti, Irene
Powiązania:
https://bibliotekanauki.pl/articles/729505.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
impulsive functional differential inclusion
semilinear differential inclusion
mild solution
Cauchy problem
solution set
condensing multimap
fixed point
Opis:
We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2004, 24, 1; 13-30
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An output controllability problem for semilinear distributed hyperbolic systems
Autorzy:
Zerrik, E.
Larhrissi, R.
Bourray, H.
Powiązania:
https://bibliotekanauki.pl/articles/929815.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system o parametrach rozłożonych
system półliniowy
system hyperboliczny
sterowność wymuszona
punkt stały
distributed-parameter systems
semilinear hyperbolic systems
constrained controllability
fixed point
Opis:
The paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder’s fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 437-446
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate controllability of the impulsive semilinear heat equation
Autorzy:
Leiva, H.
Merentes, N.
Powiązania:
https://bibliotekanauki.pl/articles/357798.pdf
Data publikacji:
2015
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
impulsive semilinear heat equation
approximate controllability
Rothe's fixed point theorem
functional analysis
teoria punktu stałego
przestrzeń Banacha
równanie przewodnictwa ciepła
sterowalność
analiza funkcjonalna
Opis:
In this paper we apply Rothe's Fixed Point Theorem to prove the interior approximate controllability of the following semilinear impulsive Heat Equation \[ \begin{cases} z_{t} = \Delta z + 1_{\omega}u(t,x) + f(t,z,u(t,x)), & \text{in} \quad (0,\tau] \times \Omega, t \neq t_{k}) \\ z = 0, & \text{on} \quad (0, \tau) \times \delta\Omega,\\ z(0,x) = z_{0}(x), & x \in \Omega, \\ z(t_{k}^{+}, x) = z(t_{k}^{-}, x) + I_{k}(t_{k},z(t_{k},x)u(t_{k},x)), & x \in \Omega, \end{cases} \] where k = 1, 2, . . . , p, $\Omega$ is a bounded domain in $\mathbb{R}^{N}(N \geq 1), z_{0} \in L_{2}(\Omega), \omega$ is an open nonempty subset of $\Omega$, $1_{\omega}$ denotes the characteristic function of the set $\omega$, the distributed control $u$ belongs to $C\left([0, \tau]; L_{2}\left(\Omega\right)\right)$ and $f,I_{k} \in C([0, \tau] \times \mathbb{R} \times \mathbb{R}; \mathbb{R}), k = 1, 2, 3, \ldots, p$, such that \[ |f(t,z,u)| \leq a_{0}|z|^{\alpha_{0}} + b_{0}|u|^{\beta_{0}} +c_{0}, \quad u \in \mathbb{R}, z \in \mathbb{R}. \] \[ |I_{k}(t,z,u)| \leq a_{k}|z|^{\alpha_{k}} + b_{k}|u|^{\beta_{k}} +c_{k}, k=1,2,3 \ldots, pu \in \mathbb{R}, z \in \mathbb{R} \] with $\frac{1}{2} \leq \alpha_{k} < 1, \frac{1}{2} \leq \beta_{k} < 1, k= 0,1,2,3, \ldots, p$ Under this condition we prove the following statement: For all open nonempty subsets $\omega$ of $\Omega$ the system is approximately controllable on $[0, \tau]$. Moreover, we could exhibit a sequence of controls steering the nonlinear system from an initial state $z_{0}$ to an $\epsilon$ neighborhood of the nal state $z_{1}$ at time $\tau > 0$.
Źródło:
Journal of Mathematics and Applications; 2015, 38; 85-104
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate Controllability Properties of the Semilinear Heat Equation With Lumped Controls
Autorzy:
Khapalov, A. Y.
Powiązania:
https://bibliotekanauki.pl/articles/908269.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowność
sterowanie skupione
semilinear heat equation
controllability
internal lumped control
Opis:
In this article, we study the global controllability properties of aone-dimensional semilinear heat equation with sublinear reaction term, governed in a bounded domain by internal lumped controls. We prove thatit is possible to exactly control any finite dimensional portion of its solution (when expanded along the sequence of the eigenfunctions of the associated Laplacian), provided that the truncated linear equationis approximately controllable in L^2 (0,1). We also describe a certain topology (weaker than L^2 (0,1)) in which this system is, in fact, globally approximately controllable at any positive time. Some extensions to the case of several dimensions are also given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 751-765
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic Properties of Stochastic Semilinear Equations by the Method of Lower Measures
Autorzy:
Maslowski, B.
Simão, I.
Powiązania:
https://bibliotekanauki.pl/articles/966652.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant measures
mixing
stochastic semilinear equations
ergodicity
Źródło:
Colloquium Mathematicum; 1997, 72, 1; 147-171
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Constrained controllability of second order dynami cal systems with delay
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/205540.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
controllability
second-order dynamical systems
delayed control systems
semilinear control systems
constrained controls
Opis:
The paper considers finite-dimensional dynami cal control systems described by second order semilinear stationary ordinary differential state equations with delay in control. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear first-order dynamical control system. It is generally assumed that the values of admissible controls are in a convex and closed cone with vertex at zero. Moreover, several remarks and comments on the existing results for controllability of semilinear dynamical control systems are also presented. Finally, a simple numerical example which illustrates theoretical considerations is also given. It should be pointed out that the results given in the paper extend for the case of semilinear second-order dynamical systems constrained controllability conditions, which were previously known only for linear second-order systems.
Źródło:
Control and Cybernetics; 2013, 42, 1; 111-121
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of a model of combined anticancer therapy
Autorzy:
Klamka, J.
Świerniak, A.
Powiązania:
https://bibliotekanauki.pl/articles/206596.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
controllability
semilinear systems
biomathematical modelling
cancer therapy
Opis:
Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by secondo order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.
Źródło:
Control and Cybernetics; 2013, 42, 1; 123-138
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces
Autorzy:
Abada, Nadjat
Benchohra, Mouffak
Hammouche, Hadda
Ouahab, Abdelghani
Powiązania:
https://bibliotekanauki.pl/articles/729413.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
semilinear functional differential inclusions
impulses
mild solution
fixed point
controllability
extrapolation space
nondensely defined operator
Opis:
In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 329-347
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of semilinear wave equations with infinitely iterated logarithms
Autorzy:
Cannarsa, P.
Komornik, V.
Loreti, P.
Powiązania:
https://bibliotekanauki.pl/articles/206588.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
controllability
semilinear equation
wave equation
Opis:
In a previous work we improved some earlier results of Imanuvilov, Li and Zhang, and of Zuazua, on the boundary exact controllability of semilinear wave equations by weakening the growth assumptions on the nonlinearity. Answering a question of Zuazua we give a still weaker, essentially optimal condition. Furthermore, we establish an approximate internal controllability result under the same growth assumptions.
Źródło:
Control and Cybernetics; 1999, 28, 3; 449-461
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions
Autorzy:
Cabada, Dalia
Garcia, Katherine
Guevara, Cristi
Leiva, Hugo
Powiązania:
https://bibliotekanauki.pl/articles/2134894.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
exact controllability
semilinear time varying control systems
non-instantaneous impulses
delay
nonlocal conditions
Rothe's fixed point theorem
Opis:
In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously. It is done by using the Rothe’s fixed point theorem together with some sub-linear conditions on the nonlinear term, the impulsive functions, and the function describing the nonlocal conditions. Furthermore, a control steering the semilinear system from an initial state to a final state is exhibited.
Źródło:
Archives of Control Sciences; 2022, 32, 2; 335--357
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence of Tolands critical points for sequences of D.C. functions and application to the resolution of semilinear elliptic problems
Autorzy:
Yassine, A.
Alaa, N.
Elhilali Alaoui, A.
Powiązania:
https://bibliotekanauki.pl/articles/206580.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
algorytm proksymalny
funkcje D.C.
optymalizacja niewypukła
punkt krytyczny Tolanda
semiliniowe zagadnienie eliptyczne
dc functions
non-convex optimization
normalized D.C. decomposition
proximal algorithm
semilinear elliptic problem
Toland's critical point
Opis:
We prove that if a sequence (fn)n of D.C. functions (Difference of two Convex functions) converges to a D.C. function f in some appropriate way and if un is a critical point of fn, in the sense described by Toland, and is such that (un)n converges to u, then a is a critical point of f, still in Toland's sense. We also build a new algorithm which searches for this critical point u and then apply it in order to compute the solution of a semilinear elliptic equation.
Źródło:
Control and Cybernetics; 2001, 30, 4; 405-417
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete relaxed method for semilinear parabolic optimal control problem
Autorzy:
Chryssoverghi, I.
Coletsos, J.
Kokkinis, B.
Powiązania:
https://bibliotekanauki.pl/articles/205973.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne
accumulation points
discrete optimisation method
discretization
distributed control
minimum principle
optimal control
parabolic equations
partial differential equations
penalty method
relaxed control
semilinear parabolic system
Opis:
We consider an optimal control problem for systems governed by semilinear parabolic partial differential equations with control and state constraints, without any convexity assumptions. A discrete optimization method is proposed to solve this problem in its relaxed form which combines a penalized Armijo type method with a finite element discretization and constructs sequences of discrete Gamkrelidze relaxed controls. Under appropriate assumptions, we prove that accumulation points of these sequences satisfy the relaxed Pontryagin necessary conditions for optimality. Moreover, we show that the Gamkrelidze controls thus generated can be replaced by simulating piecewise constant classical controls.
Źródło:
Control and Cybernetics; 1999, 28, 2; 157-176
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 41

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