Temat: d'Alembert formula - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R2. Pt. 1
Autorzy:: Luśtyk, M.
Prytula, M.
Powiązania:: https://bibliotekanauki.pl/articles/255563.pdf
Data publikacji:: 2007
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: algebraic-analytic approximation
d'Alembert type formula
Riemann functions
fixed point problem
Opis:: An algebraic-analytic method for constructing discrete approximations of linear hyperbolic equations based on a generalized d'Alembert formula of the Lytvyn and Riemann expressions for Cauchy data is proposed. The problem is reduced to some special case of the fixed point problem.
Źródło:: Opuscula Mathematica; 2007, 27, 1; 25-36
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Strong decay for one-dimensional wave equations with nonmonotone boundary damping
Autorzy:: Pierre, M.
Vancostenoble, J.
Powiązania:: https://bibliotekanauki.pl/articles/205904.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: równanie falowe
stabilność
asymptotic behavior
boundary control
d'Alembert formula
distribute parameter system
global existence
nonliner control system
nonmonotone feedback
stabilization
wave equation
Opis:: This paper is a contribution to the following question : consider the classical wave equation damped by a nonlinear feedback control which is only assumed to decrease the energy. Then, do solutions to the perturbed system still exist for all time? Does strong stability occur in the sense that the energy tends to zero as time tends to infinity? We prove here that the answer to both questions is positive in the specific case of the one-dimensional wave equation damped by boundary controls which are functions of the observed velocity. The main point is that no monotonicity assumption is made on the damping term.
Źródło:: Control and Cybernetics; 2000, 29, 2; 473-484
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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