WIAS Preprint No. 918, (2004)
On existence of a bounded solution in a problem with a control parameter
Authors
- Shchetinina, Ekaterina
2010 Mathematics Subject Classification
- 34A34 34C11
Keywords
- bounded solutions, delayed loss of stability, gluing
DOI
Abstract
This paper is devoted to the problem of existence of bounded solutions for non-autonomous differential equations in the case when the linear part has a pair of simple complex conjugate eigenvalues crossing the imaginary axis for increasing $t$. By introducing a control parameter into the system we derive conditions for the existence of a global uniformly bounded solution.
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