Wu, Xingbao Qualitative investigation of nonlinear differential equations describing infiltration of water. (English) Zbl 0827.34012 Ann. Pol. Math. 61, No. 1, 39-57 (1995). Water filtration problems modeled by nonlinear second-order ODE’s of the kind \((q(x)k(u)u')= \lambda F(x, u, u')\), \(x> 0\), \(\lambda> 0\) are discussed. Existence, boundedness, uniqueness and dependence of the solution on the paramter \(\lambda\) are established. Reviewer: N.Vulchanov (Gabrovo) MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 45G10 Other nonlinear integral equations 34C11 Growth and boundedness of solutions to ordinary differential equations 76S05 Flows in porous media; filtration; seepage 34A34 Nonlinear ordinary differential equations and systems Keywords:water filtration problems; existence; boundedness; uniqueness PDFBibTeX XMLCite \textit{X. Wu}, Ann. Pol. Math. 61, No. 1, 39--57 (1995; Zbl 0827.34012) Full Text: DOI