- Tytuł:
- A criterion for convergence of solutions of homogeneous delay linear differential equations
- Autorzy:
- Diblík, Josef
- Powiązania:
- https://bibliotekanauki.pl/articles/1293891.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
topological principle of Ważewski (Rybakowski's approach)
asymptotic convergence of solutions
linear homogeneous delay differential equation - Opis:
-
The linear homogeneous differential equation with variable delays
$ ẏ(t) = ∑_{j=1}^n α_j(t)[y(t) - y(t-τ_j(t))]$
is considered, where $α_j ∈ C(I,ℝ͞͞⁺)$, I = [t₀,∞), ℝ⁺ = (0,∞), $∑_{j=1}^n α _j(t) > 0$ on I, $τ_j ∈ C(I,ℝ⁺),$ the functions $t - τ_j(t)$, j=1,...,n, are increasing and the delays $τ_j$ are bounded. A criterion and some sufficient conditions for convergence of all solutions of this equation are proved. The related problem of nonconvergence is also discussed. Some comparisons to known results are given. - Źródło:
-
Annales Polonici Mathematici; 1999, 72, 2; 115-130
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł