Accession Number : AD0722682

Title :   Bifurcation in Singular Self-Adjoint Boundary Value Problems,

Corporate Author : DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

Personal Author(s) : Hagin,Frank G.

Report Date : 01 APR 1971

Pagination or Media Count : 36

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 + f(t,y)) m sub 0 y(0) - 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 :   (*BOUNDARY VALUE PROBLEMS, *PERTURBATION THEORY), PARTIAL DIFFERENTIAL EQUATIONS, BANACH SPACE, CONVEX SETS, NONLINEAR SYSTEMS, NUMERICAL INTEGRATION, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE