Periodic solutions of linear differential equations
β Scribed by Louis Brand
- Publisher
- Springer
- Year
- 1968
- Tongue
- English
- Weight
- 269 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Using a degreeβtheoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__βperiodic solutions of a Volterra equation, then there is a __T__βperiodic solution. The __a priori__ bound is established by means of a L
Periodic solutions of arbitrary period to semilinear partial differential equations of Zabusky or Boussinesq type are obtained. More generally, for a linear differential operator A ( y , a ) , the equation A ( y , a)u = ( -l)lYlas,f(y, Pu), y = (t, x) E Rk x G is studied, where homogeneous boundary