Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. II

For the numerical treatment of the nonlinear singular integral magnetic field equation R M = h M + A M = Hₐ, which has been considered by the author in Part I [SIAM J. Appl. Math., 39 (1980), pp. 14-20]. Tucker stability is established in the case where (h M)(x) = g( M(x),x) is a bounded, continuous, and strongly monotone operator in L². In the special cases g( M,x) = c M and g( M,x) = g(M,x) M/M, which are important for engineering applications, explicit perturbation estimates are obtained.