ArticleOriginal scientific text
Title
Qualitative investigation of nonlinear differential equations describing infiltration of water
Authors 1
Affiliations
- Group of Applied Mathematics, Wuhan College of Metallurgic Management Cadre, Wuhan, Hubei, 430081, P.R. China
Abstract
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.
Keywords
water percolation and seepage, similarity solution, nonlinear differential equation, qualitative behavior
Bibliography
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Pages:
39-57
Main language of publication
English
Received
1993-10-04
Accepted
1994-05-02
Published
1995
Exact and natural sciences