On bounded pseudo and weak solutions of a nonlinear differential equation in Banach spaces

• Autorzy: Krzyśka S. , Kubiaczyk I.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove an existence theorem for bounded pseudo and weak solution of the differential equation . XI(t) = A(t)x(t) + f(t, X(t)) where f(., X(.) ) is Pettis- integrable for each strongly absolutely continuous function X and f(t,.) is weakly-weakly sequentially continuous. We also assume some condition expressed in terms of De Blasi's measure of weak noncompactness.

Słowa kluczowe

EN

measure of weak noncompactness; nonlinear differential equations; bounded pseudo and weak solutions of differential equations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 2
• Strony: 323--330
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Krzyśka S.

autor

Kubiaczyk I.

• Faculty of Mathematics and Computer Science Adam Mickiewicz University,