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
Descriptors:
Subject Categories:
- Theoretical Mathematics