Abstract
We investigate the solution set Γ of an equation of the type f(t, Φ(u(t)) = 0, where Φ is a linear homeomorphism from a topological vector space X onto L 1(T) and f: T×R → R is a Carathéodory function. More precisely, we characterize the property of Γ of intersecting each closed hyperplane of X.
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Naselli, O. On the solution set of an equation of the type f(t, Φ(u(t)) = 0. Set-Valued Anal 4, 399–405 (1996). https://doi.org/10.1007/BF00436113
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DOI: https://doi.org/10.1007/BF00436113