Geodesic
Qualitative investigation of nonlinear differential equations describing infiltration of water
Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 39-57

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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
DOI : 10.4064/ap-61-1-39-57
Keywords: water percolation and seepage, similarity solution, nonlinear differential equation, qualitative behavior 
Xingbao Wu. Qualitative investigation of nonlinear differential equations describing infiltration of water. Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 39-57. doi: 10.4064/ap-61-1-39-57
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