Geodesic
On positive solutions of a class of second order nonlinear differential equations on the halfline
Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 123-142.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The differential equation of the form $(q(t)k(u)(u')^a)' = f(t)h(u)u'$, a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u'(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
DOI : 10.4064/ap-62-2-123-142
Keywords: nonlinear second order differential equation, nonnegative solution, existence and uniqueness of solutions, bounded solution, dependence of solutions on the parameter, boundary value problem on a noncompact interval, Tikhonov-Schauder fixed point theorem

Svatoslav Staněk 1

1 
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Svatoslav Staněk. On positive solutions of a class of second order nonlinear differential equations on the halfline. Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 123-142. doi : 10.4064/ap-62-2-123-142. http://geodesic.mathdoc.fr/articles/10.4064/ap-62-2-123-142/

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