Temat: nonlinear delay equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Periodicity of the Population Size of an Age-Dependent Model With a Dominant Age Class by Means of Impulsive Perturbations
Autorzy:: Covachev, V.
Powiązania:: https://bibliotekanauki.pl/articles/929760.pdf
Data publikacji:: 2000
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: dynamika populacji
równanie nieliniowe
population dynamics
age-dependent model
periodic solutions
nonlinear delay equations
Opis:: For an age-dependent model with a dominant age class an w-periodic regime of the population size is sought by means of impulsive perturbations. For both noncritical and critical cases of first order the problem is reduced to operator systems solvable by a convergent simple iteration method.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 147-155
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Oscillation of nonlinear neutral delay differential equations of second order
Autorzy:: Kubiaczyk, Ireneusz
Saker, Samir
Powiązania:: https://bibliotekanauki.pl/articles/729556.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: oscillation theorems
second order nonlinear neutral delay differential equations
Opis:: Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear case. Some examples are considered to illustrate our main results.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 2; 185-212
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On theorems for weak solutions of nonlinear differential equations with and without delay in Banach spaces
Autorzy:: Gomaa, Adel Mahmoud
Powiązania:: https://bibliotekanauki.pl/articles/745302.pdf
Data publikacji:: 2007
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Nonlinear differential equations
weak solutions
measures of noncompactness
delay
Opis:: In the present work we give an existence theorem for bounded weak solution of the differential equation \[ \dot{x}(t) = A(t)x(t) + f (t, x(t)),\quad t \geq 0 \] where \(\{A(t) : t \in I\mathbb{R}^+ \}\) is a family of linear operators from a Banach space \(E\) into itself, \(B_r = \{x \in E : \|x\| \leq r\}\) and \(f \colon \mathbb{R}^+ \times B_r \to E\) is weakly-weakly continuous. Furthermore, we give existence theorem for the differential equation with delay \[ \dot{x}(t) = \hat{A}(t) x(t) + f^d (t, θ_t x)\quad \text{if}\ t \in [0, T], \] where \(T, d \gt 0\), \(C_{B_r} ([-d, 0])\) is the Banach space of continuous functions from \([-d, 0]\) into \(B_r\), \(f_d\colon [0, T] \times C_{B_r} ([-d, 0]) \to E\) weakly-weakly continuous function, \(\hat{A}(t)\colon [0,T] \to L(E)\) is strongly measurable and Bochner integrable operator on \([0,T]\) and \(θ_t x(s) = x(t + s)\) for all \(s \in [-d, 0]\).
Źródło:: Commentationes Mathematicae; 2007, 47, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Approximation of the Zakai Equation in a Nonlinear Filtering Problem With Delay
Autorzy:: Twardowska, K.
Marnik, T.
Pasławska-Południak, M.
Powiązania:: https://bibliotekanauki.pl/articles/908197.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: stochastic differential equations with delay
Zakai's equation
nonlinear filtering
matematyka
Opis:: A nonlinear filtering problem with delays in the state and observation equations is considered. The unnormalized conditional probability density of the filtered diffusion process satisfies the so-called Zakai equation and solves the nonlinear filtering problem. We examine the solution of the Zakai equation using an approximation result. Our theoretical deliberations are illustrated by a numerical example.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 151-160
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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