On some solutions of nonlocal Cauchy problems

• Autorzy: Cichoń M. , Majcher P.
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to give a theorem about the existence of solutions of a semilinear nonlocal Cauchy problem for ordinary differential equations in Banach spaces. Since all assumptions are expressed in terms of the weak topology, we obtain the existence of pseudo-integral-solutions instead of integral, Caratheodory or classical ones considered in previous papers.

Słowa kluczowe

EN

CO semigroup; nonlocal condition; measures of weak noncompactness; integral solutions; pseudo-solutions

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(2)
• Strony: 185--199
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Cichoń M.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

autor

Majcher P.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Bibliografia

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