On measures of weak noncompactness
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A notion of measure of weak noncompactness is introduced which generalizes the De Blasi measure of weak noncompactness. Some properties of this generalized measure are proved. The existence of bounded weak solutions of certain differential equations is shown.
nonlinear differential equations, Compactness, existence of bounded weak solutions of certain differential equations, Fairly general properties of topological spaces, measure of weak noncompactness, General theory of ordinary differential operators, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Nonlinear differential equations in abstract spaces, Nonlinear ordinary differential equations and systems
nonlinear differential equations, Compactness, existence of bounded weak solutions of certain differential equations, Fairly general properties of topological spaces, measure of weak noncompactness, General theory of ordinary differential operators, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Nonlinear differential equations in abstract spaces, Nonlinear ordinary differential equations and systems
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