Zusammenhang der Fixpunktmenge bei verdichtenden Volterra-Operatoren. (Connection of the fixed point set of a condensing Volterra-operator)

DOI10.1007/BF01189138zbMath0683.47040MaRDI QIDQ1824851

Marianne Reichert

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

differential equations in Banach spacesdegree of mappingsthe set of fixed points of a condensing Volterra- operator in a Banach space of functions with values in a Banach space is not empty, compact and connected

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10)

Related Items (1)

Abstract Volterra equations: a survey

Cites Work

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• On the Cauchy problem for ordinary differential equations in Banach spaces
• Kneser type theorems for ordinary differential equations in Banach spaces
• Ein elementarer Beweis des Weierstraßschen Approximationssatzes
• LIMIT-COMPACT AND CONDENSING OPERATORS

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