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On some solutions of the Schröder equation in Hilbert spaces

Abstract

The problem of the existence and uniqueness of increasing and convex solutions of the Schroder equation, defined on cones in Hilbert spaces, is examined on a base of the Krein-Rutman theorem.

Advanced Mathematical Modeling in EngineeringNumerical methods in inverse problemsSpectral Theory in Mathematical PhysicsMathematicsHilbert spaceUniquenessPure mathematicsHilbert manifoldRigged Hilbert spaceMathematical analysisRegular polygonReproducing kernel Hilbert spaceGeometry
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