Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Preface. 1. On Regularization of Linear Equations on the Basis of Perturbation Theory. 2. Investigation of Bifurcation Points of a Nonlinear Equations. 3. Regularization of Computation of Solutions in a Neighborhood of the Branch Point. 4. Iterations, Interlaced Equations and Lyapunov Conbex Majorants in Nonlinear Analysis. 5. Methods of Representation Theory and Group Analysis in Bifurcation Theory. 6. Singular Differential Equations in Banach Spaces. 7. Steady-State Solutions of the Vlasov-Maxwell System. Appendices. A: Positive solutions of the nonlinear singular boundary value problem of magnetic insulation. References. Index.