- Tytuł:
- The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian
- Autorzy:
-
Liu, Bing
Yu, Jianshe - Powiązania:
- https://bibliotekanauki.pl/articles/1207894.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
a priori bounds
boundary value problems
existence theorems
differential equations with deviating arguments
Leray-Schauder degree
p-Laplacian - Opis:
- We consider a boundary value problem for a differential equation with deviating arguments and p-Laplacian: $-(ϕ_{p}(x'))' + d/dt grad F(x) + g(t,x(t),x(δ(t))$, x'(t), x'(τ(t))) = 0, t ∈ [0,1]; $x(t)=\underline{φ}(t),$ t ≤ 0; $x(t) = \overline{φ}(t)$, t ≥ 1. An existence result is obtained with the help of the Leray-Schauder degree theory, with no restriction on the damping forces d/dt grad F(x).
- Źródło:
-
Annales Polonici Mathematici; 2000, 75, 3; 271-280
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł