New results on the existence and uniqueness of periodic solutions for Liénard type -Laplacian equation

Periodic solutions for a kind of Liénard equation with a deviating argument

“…(1.1) without f 2 (x) ≡ 0. By using an illustrative example, we show that our results improve the main results obtained in [9][10][11][12]. …”

“…In particular, there have been extensive results on the existence and uniqueness of periodic solutions to Eq. (1.1) with f 2 (x) ≡ 0 (see [5][6][7][8][9][10][11][12]). …”

Periodic solutions for a Liénard type p-Laplacian differential equation

“…Therefore, all the results in [1][2][3][4][5] and the references therein can not be applicable to (20) to obtain the existence and uniqueness of 2π -periodic solutions. This implies that the results of this paper are essentially new.…”

“…Gao and Lu [4] and Liu [5] also explored the existence and uniqueness of periodic solutions for Liénard type p-Laplacian differential equation (1) with the following assumption…”

New Results on Existence of Asymptotically Stable Periodic Solutions of a Forced Liénard Type Equation

“…Recently, many authors studied a class of Liénard type p-Laplacian equations with a deviating argument by applying this continuation theorem, and obtained some criteria for guaranteeing the existence of T -periodic solutions of these equations; for details, see [8,9,17,18,33,34,36]. On the other hand, some authors investigated the stability of periodic solutions of the following Duffing type equations:…”