On the Solvability of the Same Nonlinear Compound Boundary Valued Problems

Abstract

In this paper, we may make tbe following: {|W(t)| = Φ(t), \qquad t ∈ L ⊂ ∂D Re[a(t) - i · b(t)]W(t) = ψ(t), t ∈ M = ∂D - L equal to searching for a positive solution of nonlinear singular integral equation. The solvability and discrete approximate solution of the singular integral equation have been studied.