On the existence of periodic solutions for the quasi-linear third order system of O.D.Es In this paper we concern with the nonlinear third order quasi-linear system of ordinary differential equations as: where X ∈ IR n and Λ is a diagonal matrix. We obtain some simple sufficient conditions for the
On the existence of nonlocal, periodic solutions for a fourth-order system
✍ Scribed by In-Ding Hsü
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 484 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper we consider the nonlinear third-order quasi-linear differential equation and obtain some simple conditions for the existence of a periodic solution for it. In so doing we use the implicit function theorem to prove a theorem about the existence of periodic solutions and consider one ex
## Abstract In this paper, we establish several criteria for the existence, multiplicity, nonexistence of positive periodic solutions of the following system by combining some new properties of Green's function together with Krasnosel'skĭ fixed point theorem on the compression and expression of co