Classical solutions of hyperbolic initial boundary-value problems with state-dependent delays

We consider the initial boundary-value problem for a system of quasilinear partial functional differential equations of the first order

$ {*{20}{c}} {{\partial_t}{z_i}\left( {t,x} \right) + \sum\limits_{j = 1}^n {{\rho_{ij}}\left( {t,x,V\left( {z;t,x} \right)} \right){\partial_{{x_j}}}{z_i}\left( {t,x} \right) = {G_i}\left( {t,x,V\left( {z;t,x} \right)} \right),} } \hfill & {1 \leq i \leq m,} \hfill \\ $ \begin{array}{*{20}{c}} {{\partial_t}{z_i}\left( {t,x} \right) + \sum\limits_{j = 1}^n {{\rho_{ij}}\left( {t,x,V\left( {z;t,x} \right)} \right){\partial_{{x_j}}}{z_i}\left( {t,x} \right) = {G_i}\left( {t,x,V\left( {z;t,x} \right)} \right),} } \hfill & {1 \leq i \leq m,} \hfill \\ \end{array}
Keywords:
本文献已被 SpringerLink 等数据库收录！