- Tytuł:
- Retarded functional differential equations in Banach spaces and Henstock-Kurzweil-Pettis integrals
- Autorzy:
- Sikorska-Nowak, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/729411.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
pseudo-solution
Pettis integral
Henstock-Kurzweil integral
Henstock-Kurzweil-Pettis integral
Cauchy problem - Opis:
- We prove an existence theorem for the equation x' = f(t,xₜ), x(Θ) = φ(Θ), where xₜ(Θ) = x(t+Θ), for -r ≤ Θ < 0, t ∈ Iₐ, Iₐ = [0,a], a ∈ R₊ in a Banach space, using the Henstock-Kurzweil-Pettis integral and its properties. The requirements on the function f are not too restrictive: scalar measurability and weak sequential continuity with respect to the second variable. Moreover, we suppose that the function f satisfies some conditions expressed in terms of the measure of weak noncompactness.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 315-327
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł