Accession Number : AD0710422

Title :   THE DISTANCE BETWEEN ZEROS OF A SOLUTION OF A SECOND ORDER DIFFERENTIAL EQUATION.

Descriptive Note : Final rept. 2 Jun-1 Aug 70,

Corporate Author : OKLAHOMA UNIV NORMAN DEPT OF MATHEMATICS

Personal Author(s) : Eliason,Stanley B.

Report Date : 31 JUL 1970

Pagination or Media Count : 8

Abstract : In the theory of second order ordinary linear homogeneous differential equations of the type (y double prime) + (lambda)p(x)y = 0 having variable coefficient p, much work has been done involving distance between zeros of solutions and bounds for eigenvalues in terms of p relative to certain boundary conditions. The problem studied here is to establish analogs of this theory for nonlinear differential equations of the type (y double prime) + p(x)(y sup (2n+1)) = 0 where n is a positive integer. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), BOUNDARY VALUE PROBLEMS, INEQUALITIES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE