Periodic solutions for p-Laplacian neutral Liénard equation with a sign-variable coefficient

Periodic solutions for a p-Laplacian-like NFDE system

“…In Section 2, we begin by introducing some important notations and lemmas, which this paper is based on. In Section 3, combining the continuation theorem with the results of Section 2, we prove the proposed theorem on the existence of periodic solutions for system (1.1), the results of which generalize and improve on the corresponding ones in [5,6,13,17,20,22]. In the last section, we give explicit examples showing that the assumptions in Section 3 are feasible.…”

“…See [2][3][4][5][6][7][8][9][10][11][12][13][14]17,[19][20][21][22][23][24][25][26][27] and [5,6,15,16,18,21], respectively, and the references therein.…”

“…Gao et al in [20] dealt with the periodic solutions of a NFDE system d dt f p ½ðxðtÞÀcxðtÀsÞÞ 0 þ f ðxðtÞÞx 0 ðtÞ þ bðtÞgðxðtÀtðtÞÞÞ ¼ eðtÞ: ð1:2Þ…”

“…Moreover, compared with the aforementioned papers, it is clear that [5,6,13,17,20,22] studied with the special cases of the system (1.1).…”

Noise suppresses exponential growth for neutral stochastic differential delay equations

“…Masoud and Horacio [18] proposed a new method of observer design for nonlinear uncertain systems by considering a general H 1 observer design framework. Gao et al [19] discussed periodic solutions for p-Laplacian neutral Li enard equation with a sign-variable coefficient. Wu and Hu [20] studied the robustness of general decay stability of nonlinear neutral stochastic functional differential equations with infinite delay.…”