A comparison theorem for certain functional differential equations
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- by Ernest D. True PDF
- Proc. Amer. Math. Soc. 47 (1975), 127-132 Request permission
Abstract:
The oscillatory character of solutions to the functional differential equation ${x^{(n)}}(t) + a(t)f(x(g(t))) = Q(t)$ is investigated, by comparison with the oscillatory character of solutions to ${x^{(n)}}(t) + s(t)f(x(t)) = 0$ where $s(t) \geqslant \gamma a(t),0 < \gamma < 1$. Here, $Q(t)$ represents a bounded, oscillatory forcing function, and $g(t)$ tends to $\infty$ as $t \to \infty$ or $g(t) \geqslant t - c$ for large $t$ but is otherwise arbitrary.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 127-132
- DOI: https://doi.org/10.1090/S0002-9939-1975-0352657-7
- MathSciNet review: 0352657