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Weak solutions of ordinary differential equations in Banach spaces

✍ Scribed by D. O'Regan


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
254 KB
Volume
12
Category
Article
ISSN
0893-9659

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Weak and strong solutions for differenti
✍ A.M. Gomaa πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 111 KB

In this paper we give a generalization to recent results by using weak and strong measures of noncompactness. For f : Β½0; T Γ‚ E ! E with E is a Banach space we prove that, under suitable assumptions, the Cauchy problem has at least one weak solution furthermore, with certain conditions, the Cauchy