Nonlinear oscillation of a sublinear delay equation of arbitrary order
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- by Takaŝi Kusano and Hiroshi Onose PDF
- Proc. Amer. Math. Soc. 40 (1973), 219-224 Request permission
Abstract:
The equations considered generalize \[ {x^{(n)}}(t) + p(t)|x(g(t)){|^\alpha }\operatorname {sgn} x(g(t)) = 0,\quad 0 < \alpha < 1.\] A necessary and sufficient condition is established that all solutions are oscillatory when $n$ is even and are either oscillatory or strongly monotone when $n$ is odd. The result makes clear a difference in oscillatory property between sublinear delay equations and the corresponding ordinary differential equations.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 219-224
- MSC: Primary 34K15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0324177-5
- MathSciNet review: 0324177