Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 9

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych:  measures of noncompactness
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Appendix to the paper "Osgood type conditions for an mth order differential equation"

100%
Szufla S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2001
|
tom 21
|
nr 1
149-153
2

Osgood type conditions for an m th-order differential equation

100%
Szufla S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1998
|
tom 18
|
nr 1-2
45-55
EN
We present a new theorem on the differential inequality $u^{(m)} ≤ w(u)$. Next, we apply this result to obtain existence theorems for the equation $x^{(m)} = f(t,x)$.
3
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On the Existence of Solutions of Some Stochastic Functional Integral Equations

80%
Pasławska-Południak M.
Commentationes Mathematicae
|
2010
|
tom 50
|
nr 1
EN
The integral equation of Urysohn type is considered, for the deterministic and stochastic cases. We show, using the fixed point theorem of Darbo type that under some assumptions the equations have solutions belonging to the space of continuous functions. The main tool used in our paper is the technique associated with measures of noncompactness.
4
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On theorems for weak solutions of nonlinear differential equations with and without delay in Banach spaces

80%
Gomaa A. M.
Commentationes Mathematicae
|
2007
|
tom 47
|
nr 2
EN
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 \(s \in [-d, 0]\).
5
Content available remote

Measures of noncompactness and normal structure in Banach spaces

80%
García-Falset J., Jiménez-Melado A., Lloréns-Fuster E.
Studia Mathematica
|
1994
|
tom 110
|
nr 1
1-8
EN
Sufficient conditions for normal structure of a Banach space are given. One of them implies reflexivity for Banach spaces with an unconditional basis, and also for Banach lattices.
6
Content available remote

Une fonction β-lipschitzienne qui n'est pas une perturbation compacted'une fonction dissipative

80%
Uhl R.
Annales Polonici Mathematici
|
1995
|
tom 61
|
nr 2
189-193
FR
Résumé. On présente une fonction continue f: c₀ → c₀ qui satisfait à une condition lipschitzienne par rapport à la mesure de non-compacité de Hausdorff (ou Kuratowski), mais telle que f n'est pas la somme d'une fonction dissipative et d'une fonction compacte. Cet exemple attache de l'importance au théorème d'existence de Sabina Schmidt (1989) pour des équations différentielles dans les espaces de Banach.
7

Weak solutions of differential equations in Banach spaces

80%
Cichoń M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1995
|
tom 15
|
nr 1
5-14
EN
In this paper we prove a theorem for the existence of pseudo-solutions to the Cauchy problem, x' = f(t,x), x(0) = x₀ in Banach spaces. The function f will be assumed Pettis-integrable, but this assumption is not sufficient for the existence of solutions. We impose a weak compactness type condition expressed in terms of measures of weak noncompactness. We show that under some additionally assumptions our solutions are, in fact, weak solutions or even strong solutions. Thus, our theorem is an essential generalization of previous results.
8
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Existence and Topological Properties of Solution Sets for Differential Inclusions with Delay

80%
Gomaa A. M.
Commentationes Mathematicae
|
2008
|
tom 48
|
nr 1
EN
We consider the problem \(\dot{x}(t) \in A(t)x(t) + F (t, θ_t x))\) a.e. on \([0, b]\), \(x = \kappa\) on \([-d, 0]\) in a Banach space \(E\), where \(\kappa\) belongs to the Banach space, \(C_E ([-d, 0])\), of all continuous functions from \([-d, 0]\) into \(E\). A multifunction \(F\) from \([0, b] \times C_E ([-d, 0])\) into the set, \(P_{f_c} (E)\), of all nonempty closed convex subsets of \(E\) is weakly sequentially hemi-continuous, \(θ_t x(s) = x(t + s)\) for all \(s \in [-d, 0]\) and \(\{A(t) : 0 \leq t \leq b\}\) is a family of densely defined closed linear operators generating a continuous evolution operator \(S(t, s)\). Under a generalization of the compactness assumptions, we prove an existence result and give some topological properties of our solution sets that generalizes earlier theorems by Papageorgiou, Rolewicz, Deimling, Frankowska and Cichoń.
9
Content available remote

A modulus for property (β) of Rolewicz

70%
Ayerbe J. M., Domínguez Benavides T., Francisco Cutillas S.
Colloquium Mathematicum
|
1997
|
tom 73
|
nr 2
183-191
EN
We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in $l^p$ spaces for the main measures of noncompactness.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.