On some nonlinear two-parameter spectral problems of mathematical physics

In frameworks of simple mathematical model the nonlinear synthesis problems of a plane equidistant antenna array according to the given requirements to an amplitude directivity pattern is considered. At finding the branching lines of solutions of nonlinear integral equations obtained as a result of solution of the synthesis problem, the two-parameter eigenvalue problems with spectral parameters analytically including in a kernel of the linearized integral operator are arisen. For such problems the numerical algorithms of finding the eigenvalue curves and the bifurcation points are considered. The numerical examples are presented.