Abstract.We study the existence, uniqueness and asymptotic behaviour of the strong and weak solutions to a nonlinear boundary value problem associated to the telegraph system, on the positive semi-axis of spatial variable. This problem has applications in integrated circuits modelling. For the proof of our theorems we use some results from the theory of monotone operators and of nonlinear evolution equations of monotone type in Hilbert spaces.

Received: September 14, 2006

AMS Subject Classification: 35L50, 35B40, 47J35, 47H05

Key Words and Phrases: hyperbolic system, boundary conditions, maximal monotone operator, Cauchy problem, strong solution, weak solution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 32
Issue: 1