A sufficient condition for eventual disconjugacy
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- by William F. Trench PDF
- Proc. Amer. Math. Soc. 52 (1975), 139-146 Request permission
Abstract:
It is known that the scalar equation ${y^{(n)}} + {p_1}(t){y^{(n - 1)}} + \cdots + {p_n}(t)y = 0,t > 0,n > 1$, is eventually disconjugate if ${p_1}, \ldots ,{p_n}\epsilon C[0,\infty )$ and $\int {^\infty |{p_i}(t)|{t^{i - 1}}dt < \infty ,1 \leqslant i \leqslant n}$. This paper presents a weaker integral condition which also implies that the given equation is eventually disconjugate.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 139-146
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0377189-1
- MathSciNet review: 0377189