- Tytuł:
- Abstract inclusions in Banach spaces with boundary conditions of periodic type
- Autorzy:
-
Guedda, Lahcene
Hallouz, Ahmed - Powiązania:
- https://bibliotekanauki.pl/articles/729484.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
measure of noncompactness
condensing operator
nonlinear abstract inclusion
accretive operator
integral solution
nonlinear semigroup - Opis:
-
We study in the space of continuous functions defined on [0,T] with values in a real Banach space E the periodic boundary value problem for abstract inclusions of the form
⎧ $x ∈ S(x(0), sel_{F}(x))$
⎨
⎩ x (T) = x(0),
where, $F:[0,T] × → 2^E \∅$ is a multivalued map with convex compact values, ⊂ E, $sel_{F}$ is the superposition operator generated by F, and S: × L¹([0,T];E) → C([0,T]; ) an abstract operator. As an application, some results are given to the periodic boundary value problem for nonlinear differential inclusions governed by m-accretive operators generating not necessarily a compact semigroups. - Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 229-253
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł