An existence theorem for bounded solutions of differential equations in Banach spaces
type: Item
instance of: scholarly article
title: An existence theorem for bounded solutions of differential equations in Banach spaces
zbMATH Open document ID: 0586.34052
author: Bogdan Rzepecki
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1985-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/107991
review text: On the basis of some properties of the measure of noncompactness the author gives sufficient conditions for the existence of at least one bounded solution of the nonlinear initial-value problem in a Banach space.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 3939786
zbMATH Keywords: Ambrosetti conditions
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: bounded solution
zbMATH Keywords: Banach space
MaRDI profile type: Publication
cites work: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
cites work: Punti uniti in trasformazioni a codominio non compatto
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cites work: THE APPLICATION OF A FIXED-POINT THEOREM TO A VARIETY OF NONLINEAR STABILITY PROBLEMS
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description: scientific article; zbMATH DE number 3939786