Classical solutions of hyperbolic IBVPs with state dependent delays

W Czernous - Нелінійні коливання, 2010 - dspace.nbuv.gov.ua
We consider the initial boundary-value problem for a system of quasilinear partial functional
differential equations of the first order. Using the method of bicharacteristics and the fixed …

Classical solutions of hyperbolic IBVPs with state dependent delays on a cylindrical domain

W Czernous - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
We consider the initial boundary value problem for a nonlinear partial functional differential
equation of the first order where V is a nonlinear operator of Volterra type, mapping bounded …

[PDF][PDF] Classical solutions of hyperbolic differential systems with state dependent delays

W Czernous - 2012 - projecteuclid.org
We consider the generalized Cauchy problem for a system of quasilinear partial functional
differential equations of the first order tÞi (Ø Ü)+ nj= I ij (Ø Ü Î (Þ; Ø Ü)) χjÞi (Ø Ü)= i (Ø Ü Î (Þ; …

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

W Czernous - Nonlinear Oscillations, 2011 - infona.pl
We consider the initial boundary-value problem for a system of quasilinear partial functional
differential equations of the first order $$\begin {array}{*{20}{c}}{{\partial_t}{z_i}\left ({t …