Properties of solutions of differential equations of the form
Abstract: Two theorems are presented which guarantee the boundedness and oscillation of solutions of certain classes of second order nonlinear differential equations.
-  W. R. Utz, Properties of solutions of 𝑢′′+𝑔(𝑡)𝑢²ⁿ⁻¹=0, Monatsh. Math. 66 (1962), 55–60. MR 0138834, https://doi.org/10.1007/BF01418878
-  W. R. Utz, A note on second-order nonlinear differential equations, Proc. Amer. Math. Soc. 7 (1956), 1047–1048. MR 0086197, https://doi.org/10.1090/S0002-9939-1956-0086197-8
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Keywords: Boundedness of solutions, oscillations of solutions, monotonic
Article copyright: © Copyright 1972 American Mathematical Society