In this paper we shall study the existence of a periodic solution to the nonlinear ลฝ . ลฝ ลฝ .. 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.
On the Existence of Periodic Solutions for a Certain Type of Nonlinear Differential Equations
โ Scribed by M. Feckan
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 359 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0022-0396
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โฆ Synopsis
Bifurcations of periodic solutions are studied for certain types of weakly perturbed partial differential equations. It is shown that a bifurcation occurs for almost all (in the sense of the Lebesque measure) periodic small perturbations. A generalized implicit function theorem is applied. (" 1995 Academic Press. Inc.
๐ SIMILAR VOLUMES
We consider the nonlinear singular differential equation where ยต and ฯ are two positive Radon measures on 0 ฯ not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the