Accession Number : AD0710428

Title :   SOLVABILITY OF DIFFERENTIAL EQUATIONS IN THE SPACES (Gamma sup (delta)) (Omega).

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON

Personal Author(s) : Cohoon,David K.

Report Date : AUG 1970

Pagination or Media Count : 34

Abstract : The report includes a detailed investigation of the properties of the Frechet space (Gamma sup (delta)) (Omega) of infinitely differentiable functions f on the open subset Omega in R sup n such that for every epsilon > 0 and every compact subset K of Omega (Norm f sup (epsilon, K)) = sup((epsilon to the power (-/alpha/)) (/alpha/to the power (-/alpha/delta)) /(D sup alpha) f(x)/: x(epsilon)K, alpha(epsilon)K, alpha(epsilon(N to the nth power)) is finite.

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), PARTIAL DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS), CONVEX SETS, TOPOLOGY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE