TY  - JOUR
ID  - PuźniakowskaGałuch2015
LB  - PuźniakowskaGałuch2015
AU  - Puźniakowska-Gałuch, Elżbieta
TI  - On the quasilinear Cauchy problem for a hyperbolic functional differential equation
ST  - On the quasilinear Cauchy problem for a hyperbolic functional differential equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 6
SP  - 915
EP  - 933
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.6.915
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.6.915
AB  - 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.
KW  - functional differential equations
KW  - Haar pyramid
KW  - differentiability of solutions
KW  - Fredholm type of equation
SN  - 1232-9274
ER  -