Accession Number : AD0756878

Title :   Existence and Bounds for Multiple Solutions of Nonlinear Equations, II.

Descriptive Note : Final rept.,

Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Laetsch,Theodore

Report Date : NOV 1972

Pagination or Media Count : 23

Abstract : A fixed point theorem of Krasnosel'skii is applied to prove the existence of and obtain a priori bounds for positive solutions of nonlinear two point boundary value problems when it is known that the solutions assume their maximum at the right hand end point of the given interval. The solutions so obtained cannot, in general, be obtained by simple iteration procedures. The results are applied to a problem recently discussed by Cohen. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, THEOREMS), (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), BESSEL FUNCTIONS, INEQUALITIES, NUMERICAL ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE