Oscillation Criteria for Nonlinear Functional Differential Equations of Second Order

ZHANG Zhi-Yu, ZHOU Yong, YU Yuan-Hong

Journal of Systems Science and Mathematical Sciences ›› 2000, Vol. 20 ›› Issue (1) : 1-010.

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Journal of Systems Science and Mathematical Sciences ›› 2000, Vol. 20 ›› Issue (1) : 1-010. DOI: 10.12341/jssms09536

Oscillation Criteria for Nonlinear Functional Differential Equations of Second Order

  • Zhi Yu ZHANG(1),Yong ZHOU(2),Yuan Hong YU(3)
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Abstract

In the present paper several oscillation criteria for the nonlinear functional differential equations of second order of the form [p(t,x(t)),x′(t)]′+f(t,x(t),x(g(t)),x′(t),x′(h(t)))=0 are established.The results obtained improve,generalize and unify some theorems in the literature.

Key words

Functional differential equation / oscillation criterion / strong superlinear / weak superlinear

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ZHANG Zhi-Yu, ZHOU Yong, YU Yuan-Hong. Oscillation Criteria for Nonlinear Functional Differential Equations of Second Order. Journal of Systems Science and Mathematical Sciences, 2000, 20(1): 1-010 https://doi.org/10.12341/jssms09536
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