- 期刊
COMPARISON THEOREMS FOR FOURTH ORDER DIFFERENTIAL EQUATIONS
摘要
This paper establishes an apparently overlooked relationship between the pair of fourth order liner equations y^(iv) -p(x)y =0 and y^(iv) + p(x)y=0, where p is, positive, continuous function defined on [O, ∞). It is shown that if all solutions of the first equation are nonoscillatory, then all solutions of the second equation must be nonoscillatory as well. An oscillation criterion for these equations is also given.
延伸閱讀
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- Qin, H. Z., & Ren, Y. (2009). Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations. International Journal of Differential Equations, 2009(), 142-156. https://doi.org/10.1155/2009/714357
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