John R. Graef, Myron K. Grammatikopoulos, Yuichi Kitamura, Takasi Kusano, Hiroshi Onose, Paul W. Spikes, "Nonoscillation theorems for functional differential equations of arbitrary order", International Journal of Mathematics and Mathematical Sciences, vol. 7, Article ID 479051, 8 pages, 1984. https://doi.org/10.1155/S0161171284000259
Nonoscillation theorems for functional differential equations of arbitrary order
The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. They then prove a nonoscillation theorem for such equations. A few intermediate results are also obtained.
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