In this paper we give necessary and sufficient conditions for the existence of periodic solutions for convex functional differential equations of neutral type with finite and infinite delay.
Periodic Solutions of Linear and Quasilinear Neutral Functional Differential Equations
✍ Scribed by M. Zhang
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 397 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Using a degree‐theoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__‐periodic solutions of a Volterra equation, then there is a __T__‐periodic solution. The __a priori__ bound is established by means of a L
## dedicated to professor junji kato for his 60th birthday We deal with the inhomogeneous linear periodic equation with infinite delay of the form dxÂdt=Ax(t)+B(t, x t )+F(t), where A is the generator of a C 0 -semigroup on a Banach space. Assuming that it has a bounded solution, we obtain several
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
We consider the periodic scalar neutral functional differential equation Ž .w Ž . Ž . Ž .x Ž Ž .. Ž Ž .. drdt x t y c t x t y s yh t, x t q h t y , x t y , where c is continuously differentiable, h is increasing in its second argument, and both c and h are 1-periodic in the t-variable. The two time-