GENERALIZATION OF RIEMANN-HILBERT BOUNDARY
VALUE PROBLEM FOR A FIRST ORDER NONLINEAR
COMPLEX PARTIAL DIFFERENTIAL EQUATION
Abstract. In this paper we discuss on the existence and uniqueness solution of the Riemann-Hilbert boundary value problem in the form:
 (1)

 (2)

in , where , and are given Holder continuously differentiable real-valued functions of a real parameter on . We shall assume that everywhere on .
AMS Subject Classification: 35D05, 35J55, 35J67