Geodesic
Qualitative investigation of nonlinear differential equations describing infiltration of water
Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 39-57 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 1

1 
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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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