On the stabiltiy of a system of functional equations characterizing generalize hyperbolic and trigonometric functions.

Jens Schwaiger; Wolfgang Förg-Rob

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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.