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BOUNDED SOLUTIONS OF A GENERALIZED GOŁĄB-SCHINZEL EQUATION
2009
Demonstratio Mathematica
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Let X be a linear space over the field K of real or complex numbers. We characterize solutions / : X -> K and M : K -> K of the equation in the case where the set {x € X : f(x) ^ 0} has an algebraically interior point. As a consequence we give solutions of the equation such that / is bounded on this set. 2000 Mathematics Subject Classification: 39B52.
doi:10.1515/dema-2009-0309
fatcat:hnoiz6ylzncmxiw3i3ybe673s4