Stability for a Nonlinear Second Order ODE

MR2154377 Moroşanu, Gheorghe and Vladimirescu, Cristian Gheorghe MOROŞANU and Cristian VLADIMIRESCU Stability for a Nonlinear Second Order ODE Funkcialaj Ekvacioj. Serio Internacia 48 2005 49--56 http://fe.math.kobe-u.ac.jp/FE/FullPapers/48-1/48_49.pdf http://www.ams.org/mathscinet-getitem?mr=MR2154377 The stability of the null solution of the equation (1.1) below is investigated. The main arguments are based on some Bernoulli type differential inequalities. Extensions to the whole real line are also discussed. Stability, Bernoulli type differential inequalities. 34A40, 34D20. 48-49 2005 Stability for a Nonlinear Second Order ODE MOROSANU, Gheorghe and VLADIMIRESCU, Cristian Gheorghe MOROŞANU and Cristian VLADIMIRESCU 1 Burton, T. A.; Furumochi, T. A note on stability by Schauder's theorem Funkcialaj Ekvacioj 44 2001 73-82 MR1847837 1847837 2 Corduneanu, C. Principles of Differential and Integral Equations Allyn and Bacon, Boston 1971 MR0276520

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