- Tytuł:
- On the semilinear integro-differential nonlocal Cauchy problem
- Autorzy:
-
Majcher, Piotr
Roszak, Magdalena - Powiązania:
- https://bibliotekanauki.pl/articles/729610.pdf
- Data publikacji:
- 2005
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
integro-differential equations
measure of weak non-compactness
non-local problem - Opis:
- In this paper, we prove an existence theorem for the pseudo-non-local Cauchy problem $x'(t) + Ax(t) = f(t,x(t),∫_{t₀}^{t} k(t,s,x(s))ds)$, x₀(t₀) = x₀ - g(x), where A is the infinitesimal generator of a C₀ semigroup of operator ${T(t)}_{t > 0}$ on a Banach space. The functions f,g are weakly-weakly sequentially continuous and the integral is taken in the sense of Pettis.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2005, 25, 1; 5-18
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł