Accession Number : AD0659703

Title :   ON LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH EXPONENTIAL COEFFICIENTS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF THE AEROSPACE AND MECHANICAL ENGINEERING SCIENCES

Personal Author(s) : Hegemier,G. A.

Report Date : AUG 1967

Pagination or Media Count : 32

Abstract : A system of linear ordinary differential equations with exponential coefficients is considered; several theorems are presented concerning general solutions and their asymptotic forms for large values of the independent variable; elementary examples are given and applications cited to illustrate, and demonstrate the utility of, the solution forms obtained. The relevance of the results to the solution of problems of structural stability and wave propagation is briefly discussed. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, EXPONENTIAL FUNCTIONS), MATRICES(MATHEMATICS), BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, INTEGRAL TRANSFORMS, THEOREMS, SERIES(MATHEMATICS), CONVERGENCE, OPERATORS(MATHEMATICS), APPROXIMATION(MATHEMATICS), DIFFERENCE EQUATIONS, VECTOR SPACES, POLYNOMIALS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE