Criteria of boundedness of the solutions of nonlinear differential equations

Criteria of boundedness of the solutions of nonlinear differential equations
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Proc. Amer. Math. Soc. 6 (1955), 377-385

DOI: https://doi.org/10.1090/S0002-9939-1955-0073016-8

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References

Richard Bellman, A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Nonlinear Differential and Difference Equations, Office of Naval Research, Washington, D.C., 1949. MR 0030662
Choy-tak Taam, Linear differential equations with small perturbations, Duke Math. J. 20 (1953), 13–25. MR 54116

Asymptotic relations between systems of differential equations

Choy-Tak Taam, An extension of Osgood’s oscillation theorem for a nonlinear differential equation, Proc. Amer. Math. Soc. 5 (1954), 705–715. MR 67286, DOI 10.1090/S0002-9939-1954-0067286-9
George D. Birkhoff, An elementary double inequality for the roots of an algebraic equation having greatest absolute value, Bull. Amer. Math. Soc. 21 (1915), no. 10, 494–495. MR 1559689, DOI 10.1090/S0002-9904-1915-02684-4