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Displaying similar documents to “On generalized hyperbolic functions and their characterization by functional equations.”

Semilinear hyperbolic functional equations

László Simon (2014)

Banach Center Publications

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We consider second order semilinear hyperbolic functional differential equations where the lower order terms contain functional dependence on the unknown function. Existence and uniqueness of solutions for t ∈ (0,T), existence for t ∈ (0,∞) and some qualitative properties of the solutions in (0,∞) are shown.