Geodesic
Dichotomies of solutions for a class of second-order nonlinear differential equations
Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 339-348

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This paper considers the long-time behavior of solutions for the Cauchy problem of a class of second-order nonlinear differential equations: -x''+ f(t,x,x')x'+g(x)=h(t). Under appropriate conditions it is shown that the solutions of the problem possess some dichotomy properties. 
Li, Desheng. Dichotomies of solutions for a class of second-order nonlinear differential equations. Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 339-348. doi: 10.1017/S0017089502020165
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     title = {Dichotomies of solutions for a class of second-order nonlinear differential equations},
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     year = {2002},
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     doi = {10.1017/S0017089502020165},
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