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On a Certain Generalization of the Krasnosel'skii Theorem
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M. Galewski
Published/Copyright:
June 9, 2010
Abstract
We provide a generalization of a well known Krasnosel'skii theorem on continuity of the Nemytskii operator for functions taking values in separable Banach spaces. We follow the results obtained in [Evans, Partial Differential Equations, Graduate Studies in Mathematics, Amer. Math. Soc., 1998] for the finite dimensional case.
Received: 2001-07-03
Revised: 2002-03-26
Published Online: 2010-06-09
Published in Print: 2003-June
© Heldermann Verlag
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Articles in the same Issue
- Skew Products of Ideals
- Crowded and Selective Ultrafilters under the Covering Property Axiom
- Solution of the Stieltjes Truncated Moment Problem
- Minimax Solutions of the Dual Hamilton-Jacobi Equation
- Nonexistence of Global Solutions to a Class of Nonlinear Differential Inequalities and Application to Hyperbolic–Elliptic Problems
- Functions of Two Variables Whose Vertical Sections Are Equiderivatives
- On Maximal Element Problem and Quasi-Variational Inequality Problem in L.C. Metric Spaces
- On a Certain Generalization of the Krasnosel'skii Theorem
