A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
@article{bwmeta1.element.bwnjournal-article-apmv57z1p71bwm,
author = {S. Stan\v ek},
title = {Nonnegative solutions of a class of second order nonlinear differential equations},
journal = {Annales Polonici Mathematici},
volume = {57},
year = {1992},
pages = {71-82},
zbl = {0774.34017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv57z1p71bwm}
}
S. Staněk. Nonnegative solutions of a class of second order nonlinear differential equations. Annales Polonici Mathematici, Tome 57 (1992) pp. 71-82. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv57z1p71bwm/
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