## Hiroshima Mathematical Journal

### Unbounded nonoscillatory solutions of nonlinear ordinary differential equations of arbitrary order

#### Article information

Source
Hiroshima Math. J., Volume 18, Number 2 (1988), 361-372.

Dates
First available in Project Euclid: 21 March 2008

https://projecteuclid.org/euclid.hmj/1206129729

Digital Object Identifier
doi:10.32917/hmj/1206129729

Mathematical Reviews number (MathSciNet)
MR955376

Zentralblatt MATH identifier
0654.34030

Subjects
Primary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
Secondary: 34C11: Growth, boundedness

#### Citation

Kusano, Takaŝi; Naito, Manabu. Unbounded nonoscillatory solutions of nonlinear ordinary differential equations of arbitrary order. Hiroshima Math. J. 18 (1988), no. 2, 361--372. doi:10.32917/hmj/1206129729. https://projecteuclid.org/euclid.hmj/1206129729

#### References

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• [3] J. W. Heidel, Rate of growth of nonoscillatory solutions for the differential equation y+q(n\y\r sandny=0,0<r<l, Quart. Appl. Math., 28 (1971), 601-606.
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• [8] T. Kusano and M. Naito, Unbounded nonoscillatory solutions of second order sublinear ordinary differential equations, preprint.
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• [10] D. L. Lovelady, On the nonoscillatory solutions of a sublinear even order differential equation, J. Math. Anal. Appl., 57 (1977), 36-40.
• [11] D. L. Lovelady, On the asymptotic classes of solutions of a superlinear differential equation, Czechoslovak Math. J., 27 (1977), 242-245.
• [12] M. Naito, Nonoscillatory solutions of linear differential equations with deviating arguments, Ann. Mat. Pura Appl., 136 (1984), 1-13.