𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodic solutions of first-order autonomous quasi-linear systems

✍ Scribed by M. Bayat; B. Mehri

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
147 KB
Volume
432
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, using topological degree and linear algebra techniques, we prove that a certain class of quasi-linear systems of differential equations of the form αΊ‹ = Ax + ΞΌf (x, ΞΌ) has at least one periodic solution, where ΞΌ is a small parameter and A is a constant n Γ— n matrix. If ΞΌ is bounded away from zero and the components of f are polynomials in x 1 , . . . , x n , ΞΌ, then there exists at least one periodic solution under certain conditions. Finally, we consider several examples.

πŸ“œ SIMILAR VOLUMES

Periodic Solutions of Non-autonomous Sec
Periodic Solutions of Non-autonomous Second Order Systems
✍ Chunlei Tang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 90 KB

We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.

Periodic solutions of some non-autonomou
Periodic solutions of some non-autonomous second order Hamiltonian systems
✍ Rigao Yang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 189 KB

In this paper, we study the existence of periodic solutions of some non-autonomous second order Hamiltonian systems We obtain some new existence theorems by the least action principle.