Opuscula Mathematica
Opuscula Math. 35, no. 6 (), 915-933
Opuscula Mathematica

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.
Cite this article as:
Elżbieta Puźniakowska-Gałuch, On the quasilinear Cauchy problem for a hyperbolic functional differential equation, Opuscula Math. 35, no. 6 (2015), 915-933, http://dx.doi.org/10.7494/OpMath.2015.35.6.915
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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