Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "asymptotic behaviour" wg kryterium: Temat


Wyświetlanie 1-14 z 14
Tytuł:
Existence and asymptotic behavior of positive continuous solutions for a nonlinear elliptic system in the half space
Autorzy:
Turki, S.
Powiązania:
https://bibliotekanauki.pl/articles/255934.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
asymptotic behaviour
elliptic system
regular equation
Opis:
This paper deals with the existence and the asymptotic behavior of positive continuous solutions of the nonlinear elliptic system [formula] in the half space [formula] where α, β ≥ 1and r, s .≥ 0. The functions p and q are required to satisfy some appropriate conditions related to the Kato class [formula]. Our approach is based on potential theory tools and the use of Schauder's fixed point theorem.
Źródło:
Opuscula Mathematica; 2012, 32, 4; 783-795
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behaviour of solutions of forced neutral differential equations
Autorzy:
Parhi, N.
Mohanty, P.
Powiązania:
https://bibliotekanauki.pl/articles/1310794.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
neutral equation
oscillation
asymptotic behaviour
forced equation
Opis:
Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.
Źródło:
Annales Polonici Mathematici; 1996-1997, 65, 1; 1-10
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convolution of radius functions on ℝ³
Autorzy:
Holly, Konstanty
Powiązania:
https://bibliotekanauki.pl/articles/1311654.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
integral formulas
asymptotic behaviour of convolution at ∞
Opis:
We reduce the convolution of radius functions to that of 1-variable functions. Then we present formulas for computing convolutions of an abstract radius function on ℝ³ with various integral kernels - given by elementary or discontinuous functions. We also prove a theorem on the asymptotic behaviour of a convolution at infinity. Lastly, we deduce some estimates which enable us to find the asymptotics of the velocity and pressure of a fluid (described by the Navier-Stokes equations) in the boundary layer.
Źródło:
Annales Polonici Mathematici; 1994-1995, 60, 1; 1-32
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic behaviour of solutions of linear differential equations with delay
Autorzy:
Diblík, Josef
Powiązania:
https://bibliotekanauki.pl/articles/1311818.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
linear differential equation with delay
asymptotic behaviour
Opis:
Inequalities for some positive solutions of the linear differential equation with delay ẋ(t) = -c(t)x(t-τ) are obtained. A connection with an auxiliary functional nondifferential equation is used.
Źródło:
Annales Polonici Mathematici; 1993, 58, 2; 131-137
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation criteria for a class of nonlinear differential equations of third order
Autorzy:
Parhi, N.
Das, P.
Powiązania:
https://bibliotekanauki.pl/articles/1311970.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
third order equations
oscillation
nonoscillation
asymptotic behaviour
Opis:
Oscillation criteria are obtained for nonlinear homogeneous third order differential equations of the form $y''' + q(t)y' + p(t)y^α = 0$ and y''' + q(t)y' + p(t)f(y) = 0, where p and q are real-valued continuous functions on [a,∞), f is a real-valued continuous function on (-∞, ∞) and α > 0 is a quotient of odd integers. Sign restrictions are imposed on p(t) and q(t). These results generalize some of the results obtained earlier in this direction.
Źródło:
Annales Polonici Mathematici; 1992, 57, 3; 219-229
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the delay differential equation y(x) = ay(τ(x)) + by(x)
Autorzy:
Čermák, Jan
Powiązania:
https://bibliotekanauki.pl/articles/1294107.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
functional differential equation
functional (nondifferential) equation
asymptotic behaviour
Opis:
The paper discusses the asymptotic properties of solutions of the scalar functional differential equation
$y'(x) = ay(τ(x)) + by(x), x ∈ [x_0,∞]$.
Asymptotic formulas are given in terms of solutions of the appropriate scalar functional nondifferential equation.
Źródło:
Annales Polonici Mathematici; 1999, 71, 2; 161-169
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the stability of some systems of exponential difference equations
Autorzy:
Psarros, N.
Papaschinopoulos, G.
Schinas, C.J.
Powiązania:
https://bibliotekanauki.pl/articles/255823.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference equations
asymptotic behaviour
global stability
centre manifold
biological dynamics
Opis:
In this paper we prove the stability of the zero equilibria of two systems of difference equations of exponential type, which are some extensions of an one-dimensional biological model. The stability of these systems is investigated in the special case when one of the eigenvalues is equal to -1 and the other eigenvalue has absolute value less than 1, using centre manifold theory. In addition, we study the existence and uniqueness of positive equilibria, the attractivity and the global asymptotic stability of these equilibria of some related systems of difference equations.
Źródło:
Opuscula Mathematica; 2018, 38, 1; 95-115
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on convergence of semigroups
Autorzy:
Bobrowski, Adam
Powiązania:
https://bibliotekanauki.pl/articles/1294310.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
semigroup
approximation
differentiable semigroup
resolvent
asymptotic behaviour
mean ergodic theorems
Opis:
Convergence of semigroups which do not converge in the Trotter-Kato-Neveu sense is considered.
Źródło:
Annales Polonici Mathematici; 1998, 69, 2; 107-127
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic behaviour of solutions of difference equations in Banach spaces
Autorzy:
Kisiołek, Anna
Powiązania:
https://bibliotekanauki.pl/articles/729477.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Banach space
difference equation
fixed point
measure of noncompactness
asymptotic behaviour of solutions
Opis:
In this paper we consider the first order difference equation in a Banach space
$Δx_{n} = ∑_{i=0}^∞ a^{i}_{n} f(x_{n+i})$.
We show that this equation has a solution asymptotically equal to a.
As an application of our result we study the difference equation
$Δx_{n} = ∑_{i=0}^∞ a^i_{n}g(x_{n+i}) + ∑_{i=0}^∞ b^{i}_{n}h(x_{n+i}) + y_{n}$
and give conditions when this equation has solutions.
In this note we extend the results from [8,9]. For example, in [9] the function f is a real Lipschitz function. We suppose that f has values in a Banach space and satisfies some conditions with respect to the measure of noncompactness and measure of weak noncompactness.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2008, 28, 1; 5-13
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic behavior of solutions of discrete Volterra equations
Autorzy:
Migda, J
Migda, M.
Powiązania:
https://bibliotekanauki.pl/articles/254889.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Volterra difference equation
prescribed asymptotic behaviour
asymptotically polynomial solution
asymptotically periodic solution
bounded solution
Opis:
We consider the nonlinear discrete Volterra equations of non-convolution type [formula] We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior, especially asymptotically polynomial and asymptotically periodic solutions. We use o(ns), for a given nonpositive real s, as a measure of approximation. We also give conditions under which all solutions are asymptotically polynomial.
Źródło:
Opuscula Mathematica; 2016, 36, 2; 265-278
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the asymptotic behaviour of solutions to a linear functional equation
Autorzy:
Sokołowski, D.
Powiązania:
https://bibliotekanauki.pl/articles/254899.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear functional equations and inequalities
solutions with a constant sign
asymptotic behaviour of solutions
Opis:
We investigate the asymptotic behaviour at infinity of solutions of the equation [formula].We show among others that, under some assumptions, any positive solution of the equation which is integrable on a vicinity of infinity or vanishes at +∞ tends on some sequence to zero faster than some exponential function, but it does not vanish faster than another such function.
Źródło:
Opuscula Mathematica; 2012, 32, 3; 559-577
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On oscillatory behaviour of third-order half-linear dynamic equations on time scales
Autorzy:
Grace, Said R.
Chhatria, Gokula Nanda
Powiązania:
https://bibliotekanauki.pl/articles/29519180.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
asymptotic behaviour
dynamic equation
time scales
dynamic equations on time scales
comparison method
Riccati technique
Opis:
In this work, we study the oscillation and asymptotic behaviour of third-order nonlinear dynamic equations on time scales. The findings are obtained using an integral criterion as well as a comparison theorem with the oscillatory properties of a first-order dynamic equation. As a consequence, we give conditions which guarantee that all solutions to the aforementioned problem are only oscillatory, different from any other result in the literature. We propose novel oscillation criteria that improve, extend, and simplify existing ones in the literature. The results are associated with a numerical example. We point out that the results are new even for the case $ \mathbb{T} = \mathbb{R} $ or $ \mathbb{T} = \mathbb{Z} $.
Źródło:
Opuscula Mathematica; 2022, 42, 6; 849-865
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
Autorzy:
Feßler, Robert
Powiązania:
https://bibliotekanauki.pl/articles/1311487.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Markus-Yamabe conjecture
asymptotic behaviour of solutions of ODE's
immersions
embeddings
injectivity of mappings
curve lifting
foliations
Opis:
The following problem of Markus and Yamabe is answered affirmatively: Let f be a local diffeomorphism of the euclidean plane whose jacobian matrix has negative trace everywhere. If f(0) = 0, is it true that 0 is a global attractor of the ODE dx/dt = f(x)? An old result of Olech states that this is equivalent to the question if such an f is injective. Here the problem is treated in the latter form by means of an investigation of the behaviour of f near infinity.
Źródło:
Annales Polonici Mathematici; 1995, 62, 1; 45-74
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic behaviour of a discrete dynamical system generated by a simple evolutionary process
Autorzy:
Karcz-Dulęba, I.
Powiązania:
https://bibliotekanauki.pl/articles/907236.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
ewolucja fenotypowa
dynamika populacji
populacja mała
zachowanie asymptotyczne
phenotypic evolution
population dynamics
small populations
asymptotic behaviour
space of population states
Opis:
A simple model of phenotypic evolution is introduced and analysed in a space of population states. The expected values of the population states generate a discrete dynamical system. The asymptotic behaviour of the system is studied with the use of classical tools of dynamical systems. The number, location and stability of fixed points of the system depend on parameters of a fitness function and the parameters of the evolutionary process itself. The influence of evolutionary process parameters on the stability of the fixed points is discussed. For large values of the standard deviation of mutation, fixed points become unstable and periodical orbits arise. An analysis of the periodical orbits is presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 79-90
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-14 z 14

    Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies