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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE