Abstract:

In this paper, we discuss a nonlincar boundary value problem for analytic fucntions of several complex variables:
A(t₁,t₂)φ⁺⁺(t₁,t₂)+B(t₁,t₂)φ^+-(t₁,t₂)+C(t₁,t₂)φ^-+(t₁,t₂)+D(t₁,t₂)φ^——(t₁,t₂)=g(t₁,t₂)f(t₁,t₂),φ⁺⁺(t₁,t₂),φ^+-(t₁,t₂),φ^-+(t₁,t₂),φ^——(t₁,t₂))
Applying the method of intcgral equations and Schauder fixed-point theorem, we proved existence of solution for above problem and get integral representations of solution.

Key words: Nonlinear bounary value, Analytic functions, Several complex variables