Phase spaces for quasi-linear hyperbolic functional differential equations with unbounded delay
A phase space for first-order partial functional differential equations is constructed. Caratheodory solutions of quasilinear equations with initial-boundary value conditions and initial problems on unbounded domains are investigated. Theorems on the existence and uniqueness of solutions are proved. The methods of bicharacteristics and functional integral inequalities are used. Examples of phase spaces are presented. (C) 2002 Elsevier Science Ltd. All rights reserved.
phase spaces unbounded delay mixed problems initial conditions functional integral equations