Geodesic
Qualitative behavior of a class of second order nonlinear differential equations on the halfline
Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 65-83

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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
DOI : 10.4064/ap-58-1-65-83
Keywords: nonlinear differential equation, nonnegative solution, nonpositive solution, existence and uniqueness of solutions, bounded solution, dependence of solutions on a parameter, boundary value problem

Svatoslav Staněk 1

1 
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Svatoslav Staněk. Qualitative behavior of a class of second order nonlinear differential equations on the halfline. Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 65-83. doi: 10.4064/ap-58-1-65-83

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