@Article{PuźniakowskaGałuch2015, author = "Puźniakowska-Gałuch, Elżbieta", title = "On the quasilinear Cauchy problem for a hyperbolic functional differential equation", journal = "Opuscula Math.", year = "2015", volume = "35", number = "6", pages = "915--933", doi = "http://dx.doi.org/10.7494/OpMath.2015.35.6.915", url = "http://dx.doi.org/10.7494/OpMath.2015.35.6.915", abstract = "The Cauchy problem for hyperbolic functional differential equations is considered. Volterra and Fredholm dependence are considered. A theorem on the local existence of generalized solutions defined on the Haar pyramid is proved. A result on differentiability of a solution with respect to initial data is proved.", keywords = "functional differential equations, Haar pyramid, differentiability of solutions, Fredholm type of equation", issn = "1232-9274" }