Weak solutions of a boundary value problem for nonlinear ordinary differential equation of second order in Banach spaces
Danuta Ozdarska, Stanisław Szufla (1993)
Mathematica Slovaca
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Danuta Ozdarska, Stanisław Szufla (1993)
Mathematica Slovaca
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I. Kubiaczyk, S. Szufla (1982)
Publications de l'Institut Mathématique
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Dariusz Bugajewski (1994)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
Jozef Banas, Antonio Martinón (1990)
Extracta Mathematicae
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The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example. The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance). ...