On reduction of linear two variable functional equations to differential equations without substitutions
✍ Scribed by Zsolt Páles
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 569 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0001-9054
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## Abstract This article is concerned with general nonlinear evolution equations __x__ ′ = __g__ (__x__ ) in **R**^__N__^ involving multiple time scales, where fast dynamics take the orbits close to an invariant low‐dimensional manifold and slow dynamics take over as the state approaches the manif
There are occasions when a linear autonomous functional differential equation of mixed type can be reduced to a neutral or retarded equation. A necessary condition for such reducibility is shown to be that the set of solutions of the characteristic equation is bounded on the right in the complex pla