# Accession Number:

## AD0722682

# Title:

## Bifurcation in Singular Self-Adjoint Boundary Value Problems,

# Descriptive Note:

# Corporate Author:

## DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

# Personal Author(s):

# Report Date:

## 1971-04-01

# Pagination or Media Count:

## 36.0

# Abstract:

The bifurcation phenomenon for non-linear perturbations of a class of self-adjoint boundary value problems is studied. In particular, the class includes singular problems of the type a y by lambda y ft,y m sub 0 y0 - y 0 0 y epsilon D where D is a Banach space of functions on 0, omega, omega or infinity and f is appropriately small for small y. It is shown that if lambda sub 0 is an eigenvalue of the linearized problem i.e. with f identically equal to 0, there exists a set of solutions, lambda,y, to the nonlinear problem for lambda near lambda sub 0. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics