The oscillation of solutions of the generalized Liénard equation. (Chinese. English summary) Zbl 0855.34036
The authors study the nonlinear equation (1) \(\dot x = \varphi (y) - F(x)\), \(\dot y = - g(x)\), where \(F(x) = \int^x_0 t(\xi) d \xi\). They discuss the oscillation of the solutions of (1) and prove that the solution of the Cauchy problem for (1) is unique. Necessary and sufficient conditions for the oscillation of (1) are given.
Reviewer: Wang Cun-Zheng (Chengdu)
MSC:
34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |