Finite difference approximations for nonlinear first order partial differential equations.

Baranowska, Anna; Zdzisław, Kamont

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Difference method for an elliptic system of nonlinear differential-functional equations.

Mosurski, Ryszard (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Implicit difference method for nonlinear first order partial differential equations.

Kȩpczyńska, Anna (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Balamohan, B., Kuznetsov, A., Tanny, Stephen (2007)

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Herceg, Dragoslav, Miloradović, Miroljub (2003)

Novi Sad Journal of Mathematics

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High-order methods for semilinear singularly perturbed boundary value problems.

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Novi Sad Journal of Mathematics

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Qualitative investigation of nonlinear differential equations describing infiltration of water

Xingbao Wu (1995)

Annales Polonici Mathematici

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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.

Qualitative behavior of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1993)

Annales Polonici Mathematici

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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.