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A note on oscillation and nonoscillation criteria for fourth order linear differential equations. (English) Zbl 0539.34022
The author studies the equation (L) \(y^{(4)}+P(t)y''+Q(t)y=0\), where P(t)(\(\leq 0)\), Q(t)(\(\leq 0)\) are continuous functions on \(I=[a,\infty)\), \(a\in R\) and Q(t) is not identically zero on any subinterval of I. He proves that (L) is nonoscillatory if \(u^{(4)}+[P(t)+Q(t)]u=0\) is nonoscillatory
Reviewer: P.Marusiak

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
Full Text: EuDML
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