The author proves an existence result for ordinary differential equations in a Banach space by assuming conditions in terms of the Kuratowski measure of noncompactness and by weakening the restrictions of uniform continuity.
EXISTENCE OF SOLUTIONS FOR ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES / G. PIANIGIANI. - In: BULLETIN DE L'ACADÉMIE POLONAISE DES SCIENCES. SÉRIE DES SCIENCES MATHÉMATIQUES, ASTRONOMIQUES ET PHYSIQUES. - ISSN 0001-4117. - STAMPA. - 23:(1975), pp. 853-857.
EXISTENCE OF SOLUTIONS FOR ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES
PIANIGIANI, GIULIO
1975
Abstract
The author proves an existence result for ordinary differential equations in a Banach space by assuming conditions in terms of the Kuratowski measure of noncompactness and by weakening the restrictions of uniform continuity.
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