Wong, James S. W. Second order nonlinear forced oscillations. (English) Zbl 0655.34023 SIAM J. Math. Anal. 19, No. 3, 667-675 (1988). The author considers the following nonlinear differential equation (1) \(x''+a(t)f(x)=g(t),\) \(t\in [0,\infty)\), where a,g are real piecewise continuous functions on \([0,\infty)\); f is continuous and nondecreasing function in \((-\infty,\infty)\); \(xf(x)>0\) for \(x\neq 0\); \(h\in C^ 2[0,\infty)\), \(h''(t)=g(t)\) and that h(t) is oscillatory. Under another assumptions there are given sufficiently conditions under which all continuable solutions of (1) are oscillatory. Reviewer: P.Marušiak Cited in 3 ReviewsCited in 48 Documents MSC: 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems Keywords:superlinear equation; sublinear equation × Cite Format Result Cite Review PDF Full Text: DOI