
Accession Number : AD0610444
Title : TWOPOINT PROBLEMS FOR NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Coles,W. J. ; Sherman,T. L.
Report Date : AUG 1964
Pagination or Media Count : 16
Abstract : This paper considers the differential equation y'' + F (t,y,y') = 0 together with one of the boundary conditions y(a) = A and y(b) = B, y(a) = A and y'(b) = B, y'(a) = A and y(b) = B. Under appropriate conditions on F, it is wellknown that, for fixed a, a unique solution exists if b  a is small enough. The question of a bound for b  a continues to be of interest. Techniques are developed which provide some insight into previous proofs and give improvements of known results. In some cases the results can be interpreted as disconjugacy or nonoscillation theorems. (Author)
Descriptors : (*NONLINEAR DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS), (*BOUNDARY VALUE PROBLEMS, NONLINEAR DIFFERENTIAL EQUATIONS), THEORY, FUNCTIONS(MATHEMATICS), SERIES(MATHEMATICS), NUMERICAL ANALYSIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE