Open AccessOn the quasilinear Cauchy problem for a hyperbolic functional differential equation
Author(s) -
Elżbieta Puźniakowska–Gałuch
Publication year - 2015
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2015.35.6.915
Subject(s) - mathematics , hyperbolic partial differential equation , cauchy problem , differentiable function , initial value problem , mathematical analysis , differential equation
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
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