WIAS Preprint No. 918, (2004)

On existence of a bounded solution in a problem with a control parameter


  • Shchetinina, Ekaterina

2010 Mathematics Subject Classification

  • 34A34 34C11


  • bounded solutions, delayed loss of stability, gluing


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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