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Zbl 1033.34046
Yang, Xiaojing
Forced oscillation of $n$th-order nonlinear differential equations. (English)
[J] Appl. Math. Comput. 134, No. 2-3, 301-305 (2003). ISSN 0096-3003

Summary: The oscillation criteria result of {\it R. P. Agarwal} and {\it S. R. Grace} \lbrack Appl. Math. Lett. 13, 53--57 (2000; Zbl 0958.34050)] is generalized to the following nonlinear equations $$x^{(n)}(t)+ \sum^{n-1}_{i=1} a_i x^{(i)}(t)- q(t) f(x(t))= e(t),\quad n\in\bbfN,$$ where $f\in C^1(\bbfR,\bbfR)$ and $f$ is a strictly monotone increasing function, $e\in C(\bbfR^+,\bbfR)$ and $a_1,\dots, a_{n-1}$ are real constants.

MSC 2000:: *34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: forced oscillation; $n$th-order nonlinear differential equations

Citations: Zbl 0958.34050

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Zentralblatt MATH Berlin [Germany]