Accession Number : AD0648352

Title :   ON A BOUNDARY-VALUE PROBLEM,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Anishchenko,R. I.

Report Date : 08 DEC 1966

Pagination or Media Count : 23

Abstract : The differential equation considered in the paper is Phi' = f(x, Phi) psi (x) with conditions Phi (0) = y sub o, R Phi' (R) - Phi (R) = q for 0 < or x < = R, where yo,R,q are given real numbers, y sub o > O, R > O. The solution sought, phi(x), is to be non-negative. A number of conditions are imposed on f(x,phi) and psi. Problems of this type are encountered in the statistical theory of the atom, and these conditions follow naturally from the physical setting of the problems. Continuous dependence of the interval of existence of the solution and the continuous dependence of the solution itself on the boundary values are established. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, THEORY), APPROXIMATION(MATHEMATICS), DIFFERENTIAL EQUATIONS, REAL NUMBERS, FUNCTIONAL ANALYSIS, USSR, STATISTICAL MECHANICS, ATOMS

Subject Categories : Physical Chemistry
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE