Temat: bicharacteristics - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems
Autorzy:: Kropielnicka, Karolina
Powiązania:: https://bibliotekanauki.pl/articles/745296.pdf
Data publikacji:: 2005
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: initial boundary value problems
bicharacteristics
interpolating operators
Opis:: Classical solutions of mixed problems for first order partial functional differential systems in two independent variables are approximated in the paper with solutions of a difference problem of the Euler type. The mesh for the approximate solutions is obtained by a numerical solving of equations of bicharacteristics. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of the Perron type. Differential systems with deviated variables and differential integral systems can be obtained from a general model by specializing given operators.
Źródło:: Commentationes Mathematicae; 2005, 45, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Classical solutions of initial problems for quasilinear partial functional differential equations of the first order
Autorzy:: Czernous, W.
Powiązania:: https://bibliotekanauki.pl/articles/254909.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: partial functional differential equations
classical solutions
local existence
bicharacteristics
Opis:: We consider the initial problem for a quasilinear partial functional differential equation of the first order [formula], z(t, x) = varphi(t, x) ((t, x) ∈ [-h0, 0] x Rn) where z(t, x) : [-h0, 0] x [-h, h] → R is a function defined by z(t, x) (τ, ξ) = z(t + τ, + ξ) for (τ, ξ) ∈ [-h0, 0] x [-h, h]. Using the method of bicharacteristics and the fixed-point theorem we prove, under suitable assumptions, a theorem on the local existence and uniqueness of classical solutions of the problem and its continuous dependence on the initial condition.
Źródło:: Opuscula Mathematica; 2006, 26, 1; 13-29
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the local Cauchy problem for nonlinear hyperbolic functional differential equations
Autorzy:: Człapiński, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/1294574.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: functional differential equations
weak solutions
bicharacteristics
successive approximations
Opis:: We consider the local initial value problem for the hyperbolic partial functional differential equation of the first order (1) $Dₓz(x,y) = f(x,y,z(x,y),(Wz)(x,y),D_y z(x,y))$ on E, (2) z(x,y) = ϕ(x,y) on [-τ₀,0]×[-b,b], where E is the Haar pyramid and τ₀ ∈ ℝ₊, b = (b₁,...,bₙ) ∈ ℝⁿ₊. Using the method of bicharacteristics and the method of successive approximations for a certain functional integral system we prove, under suitable assumptions, a theorem on the local existence of weak solutions of the problem (1),(2).
Źródło:: Annales Polonici Mathematici; 1997, 67, 3; 215-232
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Generalized solutions of first order partial differential functional inequalities
Autorzy:: Czernous, Wojciech
Powiązania:: https://bibliotekanauki.pl/articles/746208.pdf
Data publikacji:: 2006
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: initial boundary value problems
partial functional differential inequalities
Carathéodory solutions
uniqueness
bicharacteristics
Opis:: The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
Źródło:: Commentationes Mathematicae; 2006, 46, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: On the mixed problem for quasilinear partial functional differential equations with unbounded delay
Autorzy:: Człapiński, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/1294042.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Carathéodory solutions
functional differential equation
bicharacteristics
fixed-point theorem
mixed problem
unbounded delay
Opis:: We consider the mixed problem for the quasilinear partial functional differential equation with unbounded delay $D_tz(t,x) = ∑_{i=1}^n f_i(t,x,z_{(t,x)})D_{x_i}z(t,x) + h(t,x,z_{(t,x)})$, where $z_{(t,x)} ∈ X̶_0$ is defined by $z_{(t,x)}(τ,s) = z(t+τ,x+s)$, $(τ,s) ∈ (-∞,0]×[0,r]$, and the phase space $X̶_0$ satisfies suitable axioms. Using the method of bicharacteristics and the fixed-point method we prove a theorem on the local existence and uniqueness of Carathéodory solutions of the mixed problem.
Źródło:: Annales Polonici Mathematici; 1999, 72, 1; 87-98
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja