Investigation of conditional exponential stability of an integral manifold to a multifrequency system by using properties of oscillating integrals. (Ukrainian. English summary) Zbl 0985.34047
Summary: Using uniform estimates on oscillating integrals, the conditional exponential stability of the integral manifold to an oscillating system with slowly varying frequencies is proved.
MSC:
| 34D35 | Stability of manifolds of solutions to ordinary differential equations |
| 34D23 | Global stability of solutions to ordinary differential equations |
| 34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |
