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Differentiability with respect to initial functions of solutions to nonlinear hyperbolic functional differential systems
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A generalized Cauchy problem for nonlinear hyperbolic functional differential
systems is considered. A theorem on the existence of weak solutions is proved. The initial
problem is transformed into a system of functional integral equations for an unknown function
and for their partial derivatives with respect to spatial variables. The existence of solutions
of this system is proved by using a method of successive approximations. It is shown a result
on the differentiability of solutions with respect to initial functions. This is the main result
of the paper.
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E-Jurnal
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