Implicit functional and eigenvalue problems

An approach is suggested to nonlinear, positively homogeneous eigenvalue problems based on the using of the spectral parameter as functional of Euler type. It allows one to present the spectral parameter domain as a bifurcation diagram of the problem. Fučik spectrum problems (classic and for $p$-Laplacian) and the problem with a nonlinear dependence of the weight function on the spectral parameter are considered.