Temat: attractivity - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence and attractivity for fractional order integral equations in Fréchet spaces
Autorzy:: Abbas, Saïd
Benchohra, Mouffak
Powiązania:: https://bibliotekanauki.pl/articles/729302.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: functional integral equation
left-sided mixed Riemann-Liouville integral of fractional order
solution
attractivity
Fréchet space
fixed point
Opis:: In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Riemann-Liouville fractional order, by using an extension of the Burton-Kirk fixed point theorem in the case of a Fréchet space.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 1; 47-63
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Global attractivity of a higher order nonlinear difference equation with unimodal terms
Autorzy:: Almaslokh, Abdulaziz
Qian, Chuanxi
Powiązania:: https://bibliotekanauki.pl/articles/29519331.pdf
Data publikacji:: 2023
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: higher order difference equations
positive equilibrium
unimodal term
global attractivity
population model
Opis:: In the present paper, we study the asymptotic behavior of the following higher order nonlinear difference equation with unimodal terms x(n + 1) = ax(n) + bx(n)g(x(n)) + cx(n − k)g(x(n − k)), n = 0, 1, . . . , where a, b and c are constants with 0 < a < 1, 0 ≤ b < 1, 0 ≤ c < 1 and a + b + c = 1, g ∈ C[[0,∞), [0,∞)] is decreasing, and k is a positive integer. We obtain some new sufficient conditions for the global attractivity of positive solutions of the equation. Applications to some population models are also given.
Źródło:: Opuscula Mathematica; 2023, 43, 2; 131-143
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On existence and global attractivity of periodic solutions of nonlinear delay differential equations
Autorzy:: Qian, Chuanxi
Smith, Justin
Powiązania:: https://bibliotekanauki.pl/articles/255800.pdf
Data publikacji:: 2019
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: delay differential equation
periodic solution
global attractivity
Opis:: onsider the delay differential equation with a forcing term [formula] (*) where ƒ (t, x) : [0,) x [0, ∞) —> R, g(t, x) : [0, ∞) x [0, ∞) —> [0, ∞) are continuous functions and w-periodic in t, r(t) : [0, ∞) —> R is a continuous function and r ∈ (0, ∞) is a positive constant. We first obtain a sufficient condition for the existence of a unique nonnegative periodic solution [formula] of the associated unforced differential equation of Eq. (*) [formula] (**) Then we obtain a sufficient condition so that every nonnegative solution of the forced equation (*) converges to this nonnegative periodic solution [formula] of the associated unforced equation (**). Applications from mathematical biology and numerical examples are also given.
Źródło:: Opuscula Mathematica; 2019, 39, 6; 839-862
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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