This paper considers the LiΓ©nard-type systems with multiple deviating arguments. Sufficient conditions for the existence and exponential stability of positive almost periodic solutions are established, which are new and complement previously known results.
Existence of positive periodic solutions for a class of difference equations with several deviating arguments
β Scribed by Daqing Jiang; R.P. Agarwal
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 367 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, we employ the Mawhin continuation theorem to study the existence of positive periodic solutions for a kind of nonautonomous difference equation with several deviating arguments.
Applying the general theorems established to several biomathematical models, we obtain some new results.
π SIMILAR VOLUMES
In this paper, we study the existence of periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument as follows: Under various assumptions, the existence of periodic solutions of the problem is obtained by applying Mawhin's continuation theorem.
In this paper, we consider a kind of Rayleigh equation with two deviating arguments of the form By using the coincidence degree theory, we establish new results on the existence and uniqueness of periodic solutions for the above equation.