Necessary and sufficient conditions for the existence and uniqueness of a bounded solution of the equation ((dx(t))/(dt))=f(x(t)+h{sub 1}(t))+h{sub 2}(t)
Necessary and sufficient conditions for a bounded solution of the nonlinear scalar differential equation dx(t)/dt=f(x(t)+h{sub 1}(t))+h{sub 2}(t), t∈R, to exist and be unique are presented in the case when f(x) is a continuous function and the functions h{sub 1}(t) and h{sub 2}(t) are bounded and continuous. The case when h{sub 1}(t) and h{sub 2}(t) are almost periodic functions is also investigated. Bibliography: 31 titles. (paper)
- OSTI ID:
- 22876123
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 2 Vol. 208; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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