Properties of solutions of differential equations of the form 𝑦^{”}+𝑎(𝑡)𝑏(𝑦)=0

Kroopnick, Allan

doi:10.1090/S0002-9939-1972-0291559-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Properties of solutions of differential equations of the form $y^{”}+a(t)b(y)=0$
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Proc. Amer. Math. Soc. 34 (1972), 319-320 Request permission

Abstract:

Two theorems are presented which guarantee the boundedness and oscillation of solutions of certain classes of second order nonlinear differential equations.

References

W. R. Utz, Properties of solutions of $u^{\prime \prime }+g(t)u^{2n-1}=0$, Monatsh. Math. 66 (1962), 55–60. MR 138834, DOI 10.1007/BF01418878
W. R. Utz, A note on second-order nonlinear differential equations, Proc. Amer. Math. Soc. 7 (1956), 1047–1048. MR 86197, DOI 10.1090/S0002-9939-1956-0086197-8