
Accession Number : AD0709225
Title : ALMOST PERIODIC BEHAVIOR OF SOLUTIONS OF A NONLINEAR VOLTERRA SYSTEM. II,
Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
Personal Author(s) : Miller,R. K.
Report Date : JUL 1970
Pagination or Media Count : 25
Abstract : The paper studies forced almost periodic oscillations in a nonlinear system of two Volterra integral equations. It is a sequel paper to an earlier paper on the same topic. Earlier results are improved in two ways. First, it is shown that the oscillatory solution is Lyapunov stable under small perturbations in the coefficients of the equation. Secondly, it is shown that whenever the coefficients are quasiperiodic and analytic, the almost periodic oscillation is in the same class. (Author)
Descriptors : (*INTEGRAL EQUATIONS, NONLINEAR SYSTEMS), (*SUPERFLUIDITY, BOUNDARY VALUE PROBLEMS), BOUNDARY VALUE PROBLEMS, PERTURBATION THEORY, ANALYTIC FUNCTIONS, STABILITY, THEOREMS
Subject Categories : Numerical Mathematics
Thermodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE