BIFURCATION OF POSITIVE AND NEGATIVE SOLUTIONS OF NONLINEARIZABLE STURM-LIOUVILLE PROBLEMS WITH INDEFINITE WEIGHT

摘要

We consider nonlinearizable Sturm-Liouville problem indefinite weight function. We show the existence of two pairs of global continua emanating from the bifurcation intervals surrounding the principal eigenvalues of the corresponding linear problem and contained in the classes of positive and negative functions.