Accession Number : AD0696146

Title :   ALMOST PERIODIC BEHAVIOR OF SOLUTIONS OF A NONLINEAR VOLTERRA SYSTEM,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Miller,R. K.

Report Date : OCT 1969

Pagination or Media Count : 47

Abstract : The paper shows that a system of two nonlinear Volterra integral equations with almost periodic forcing has solutions which are asymptotically almost periodic. The Volterra system arises in a natural way by studying the boundary values of a solution of a heat equation with one space variable X ranging over a finite interval. In particular, the heat equation governs one dimensional flow of superfluid helium. The boundary conditions are general enough to include C.C. Lin's theory of superfluidity of helium. The problem studied here is motivated by a problem of helium flow with signosoidal forcing. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, NONLINEAR SYSTEMS), (*LIQUEFIED GASES, HELIUM), (*HELIUM, *SUPERFLUIDITY), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, BOUNDARY VALUE PROBLEMS, FOURIER ANALYSIS, SERIES(MATHEMATICS), PERIODIC VARIATIONS, THEOREMS

Subject Categories : Numerical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE