Temat: homogeneous linear differential equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Properties of entire solutions of some linear PDEs
Autorzy:: Bandura, A,
Skaskiv, O.
Filevych, P.
Powiązania:: https://bibliotekanauki.pl/articles/122451.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: linear partial differential equation
entire function
bounded L-index in direction
bounded l-index
homogeneous linear differential equation
growth of solutions
liniowe równanie różniczkowe cząstkowe
funkcja całkowita
równanie różniczkowe cząstkowe
Opis:: In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and L≡1. Also, we found a positive continuous function l such that entire solutions of the homogeneous linear differential equation with arbitrary fast growth have a bounded l -index and estimated its growth.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 17-28
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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