On the Cauchy problem for ordinary differential equations in Banach spaces

From MaRDI portal
Publication:1170427

DOI10.1007/BF01899196zbMath0496.34033OpenAlexW2039652894MaRDI QIDQ1170427

Harald Moench, Gerd-Friedrich von Harten

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01899196




Related Items (30)

The existence of maximal and minimal solution of the nonlinear integrodifferential equation in banach spaceExtremal solutions and comparison principle for nonlinear integro-differential equations in a Banach spaceA note on the theorem of Lakshmikantham and LeelaWeak solutions for hyperbolic partial fractional differential inclusions in Banach spacesExistence of generalized solutions for ordinary differential equations in Banach spacesOn existence of extremal solutions of differential equations in Banach spacesStabilizability of nonlinear infinite dimensional switched systems by measures of noncompactness in the space \(c_0\)Solvability of inclusions of Hammerstein typeCompactness of linear integral operators in ideal spaces of vector functionsMeasures of noncompactness in the study of solutions of nonlinear differential and integral equationsRepresentation of measures of noncompactness and its applications related to an initial value problem in Banach spacesInfinite system of differential equations in some \(BK\) spacesOn a Cauchy problem in Banach spacesOn semilinear parabolic evolution equations on closed setsMeasure of noncompactness and partial functional differential equations with state-dependent delayMild solutions of evolution equations and measures of noncompactnessWeak solutions for hyperbolic partial fractional differential equations in Banach spacesUnbounded solutions of a boundary value problem for abstract \(n\)th-order differential equations on an infinite intervalOn solutions of semilinear upper diagonal infinite systems of differential equationsExistence and continuous dependence of mild solutions to semilinear functional differential equations in Banach spacesSome remarks on measures of noncompactness and retractions onto spheresOn the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functionsCompactness estimates for integral operators of vector functions with nonmeasurable kernelsA characterization of 0-epi maps with a degreeSolvability of infinite systems of differential equations in Banach sequence spacesQuasi-bounded mappings and complementarity problems depending of parametersA compactness criterion of mixed Krasnoselskiĭ-Riesz type in regular ideal spaces of vector functionsZusammenhang der Fixpunktmenge bei verdichtenden Volterra-Operatoren. (Connection of the fixed point set of a condensing Volterra-operator)Fixed point theorems for set-valued maps and existence principles for integral inclusionsA Leray-Schauder alternative for Mönch maps on closed subsets of Fréchet spaces



Cites Work


This page was built for publication: On the Cauchy problem for ordinary differential equations in Banach spaces