Opuscula Math. 35, no. 6 (2015), 915-933
On the quasilinear Cauchy problem for a hyperbolic functional differential equation
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.
Mathematics Subject Classification: 35R10, 35F25, 35A05.