
Accession Number : AD0722682
Title : Bifurcation in Singular SelfAdjoint 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 nonlinear perturbations of a class of selfadjoint 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