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Approximation by bivariate Mazhar-Totik operators

Wachnicki E.

Commentationes Mathematicae

2010

Vol. 50, [Z] 2

141-153

The aim of this paper is to study a bivariate version of the operator investigated in [2], [4]. We shall present Voronovskaya type theorem and theorems giving a rate of convergence of this operator. Some applications for the limit problem are indicated.

Some nonlinear diffusion equation with three nonlinearities

Tal-Figiel B.

Fasciculi Mathematici

2004

Nr 34

105-120

The subject of the paper is a construction of the classical solution to the nonlinear diffusion equation , in the domain , satisfying the limit conditions <2 formulas>.

Green function and a nonlinear problem for the diffusion equation in a cylindrical ring

Tal-Figiel B.

Fasciculi Mathematici

2002

Nr 33

99-110

The subject of the paper is the construction of the solution (r, t) -> U(r, t) to the parabolic nonlinear partial differential equation (I) deltau(x,t)-Du (x, t)u(x, t) = f(x, t, u(x, t), D,u(x, 0), x = (x,, x,), A = D1x + D(2) for the cylindrical ring D(1)={(r,t):r = (x2(2) +x(2)(2) 0

A limit problem for a factorised parabolic equation of the fourth order

Pieniążek A.

Fasciculi Mathematici

1999

Nr 30

131-146

The aim of this paper is the construction of the classical solution to a nonlinear factorised differential biparabolic equation of the fourth order, in a rectangular domain, with boundary-value conditions ofthe Dirichlet and the Neurnann types.