The existence of oscillatory solutions for the equation $d^{2}y/dt^{2}+q(t)y^{r}=0, 0<r<1$
HTML articles powered by AMS MathViewer
- by Kuo Liang Chiou PDF
- Proc. Amer. Math. Soc. 35 (1972), 120-122 Request permission
Abstract:
This paper gives sufficient conditions for the existence of oscillatory solutions in the sublinear case of the second order differential equation ${d^2}y/d{t^2} + q(t){y^r} = 0$, where $q(t)$ is non-negative and continuous and $0 < r < 1$. We use the technique of [3, Theorem 3.1] and obtain a result which extends [2, Corollary 1], [3, Theorem 3.1], and [3, Theorem 3.2].References
- ล tefan Belohorec, On some properties of the equation $y^{\prime \prime }(x)+f(x)y^{\alpha }(x)=0$, $0<\alpha <1$, Mat. ฤasopis Sloven. Akad. Vied 17 (1967), 10โ19 (English, with Russian summary). MR 214854
- C. V. Coffman and J. S. W. Wong, Second order nonlinear oscillations, Bull. Amer. Math. Soc. 75 (1969), 1379โ1382. MR 247180, DOI 10.1090/S0002-9904-1969-12427-4
- J. W. Heidel and Don B. Hinton, The existence of oscillatory solutions for a nonlinear differential equation, SIAM J. Math. Anal. 3 (1972), 344โ351. MR 340721, DOI 10.1137/0503032
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 120-122
- MSC: Primary 34C15
- DOI: https://doi.org/10.1090/S0002-9939-1972-0301292-2
- MathSciNet review: 0301292