Accession Number : AD0726418

Title :   Applications of the Maximum Principle to Singular Perturbation Problems.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s) : Dorr,F. W. ; Parter,S. V. ; Shampine,L. F.

Report Date : DEC 1970

Pagination or Media Count : 104

Abstract : The maximum principle and the general theory of differential inequalities are used to obtain elementary estimates for solutions of second order ordinary differential equations. These estimates are applied to obtain results on the limiting behavior of solutions of singular perturbation problems. Some of the results presented here are new and others shed light on known results. (Author)

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

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE