Global Existence and Asymptotic Behavior of Solutions of Nonlinear Differential Equations
β Scribed by J. Guzman; M. Pinto
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 240 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we shall study the existence of a periodic solution to the nonlinear Ε½ . Ε½ Ε½ .. differential equation x q Ax y A\*x y A\*Ax q B t x q f t, x t s 0 in some complex Hilbert space, using duality and variational methods.
## Abstract The existence of nonβextreme positive solutions of __n__ thβorder quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of nonβextreme positive solutions are established for a certain class of equations. B
are obtained by investigating respectively the asymptotic behavior of the nonoscillatory solutions and oscillatory solutions of the equation.