Accession Number:

AD0697644

Title:

CRITICAL LINEAR DIFFERENCE EQUATIONS: A STUDY IN PATHOLOGY,

Descriptive Note:

Corporate Author:

IOWA UNIV IOWA CITY DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1969-06-01

Pagination or Media Count:

19.0

Abstract:

The paper discusses the structure of solutions of the linear scaler difference equation xt h xt ft, and in part its relationship to the differential equation x dot t ft. It is shown that the structure of solutions of the difference equation is critically dependent on h. For example, given f periodic, there is a dense set of hs for which there is not even a generalized periodic solution, no matter how smooth f is. Conditions on f for boundedness and uniform continuity of solutions are obtained and an example is presented to show that if f is almost periodic and the solution is bounded, the solution need not be almost periodic. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE