Temat: linear equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Disconjugacy and disfocality criteria for second order singular half-linear differential equations
Autorzy:: Došlý, Ondřej
Lomtatidze, Alexander
Powiązania:: https://bibliotekanauki.pl/articles/1293858.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Vallée Poussin type criterion
half-linear equation
disfocality
disconjugacy
Opis:: We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation
$u'' = p(t)|u|^α |u'|^{1-α} sgn u + g(t)u'$,
where α ∈ (0,1] and the functions $p,g ∈ L_{loc}(a,b)$ are allowed to have singularities at the end points t = a, t = b of the interval under consideration.
Źródło:: Annales Polonici Mathematici; 1999, 72, 3; 273-284
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

Tytuł:: Indefinite integration of oscillatory functions
Autorzy:: Keller, Paweł
Powiązania:: https://bibliotekanauki.pl/articles/1338981.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: indefinite integration
second-order linear difference equation
oscillatory function
Opis:: A simple and fast algorithm is presented for evaluating the indefinite integral of an oscillatory function $\int_x^yi f(t) e^{iωt} dt$, -1 ≤ x < y ≤ 1, ω ≠ 0, where the Chebyshev series expansion of the function f is known. The final solution, expressed as a finite Chebyshev series, is obtained by solving a second-order linear difference equation. Because of the nature of the equation special algorithms have to be used to find a satisfactory approximation to the integral.
Źródło:: Applicationes Mathematicae; 1998-1999, 25, 3; 301-311
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Existence criteria for positive solutions of a nonlinear difference inequality
Autorzy:: Cheng, Sui
Zhang, Guang
Powiązania:: https://bibliotekanauki.pl/articles/1208008.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Sturm type comparison theorem
limit comparison theorem
nth order linear difference equation
eventually positive solution
eventually positive nonincreasing solution
neutral difference equation
nonlinear delay difference inequality
Opis:: This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Źródło:: Annales Polonici Mathematici; 2000, 73, 3; 197-220
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

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

Skocz do pozycji: 6.

Tytuł:: On the increasing solutions of the translation equation
Autorzy:: Brzdęk, Janusz
Powiązania:: https://bibliotekanauki.pl/articles/1310912.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: translation equation
linear order
increasing function
additive function
Opis:: Let M be a non-empty set endowed with a dense linear order without the smallest and greatest elements. Let (G,+) be a group which has a non-trivial uniquely divisible subgroup. There are given conditions under which every solution F: M×G → M of the translation equation is of the form $F(a,x) = f^{-1}(f(a) + c(x))$ for a ∈ M, x ∈ G with some non-trivial additive function c: G → ℝ and a strictly increasing function f: M → ℝ such that f(M) + c(G) ⊂ f(M). In particular, a problem of J. Tabor is solved.
Źródło:: Annales Polonici Mathematici; 1996, 64, 3; 207-214
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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