Displaying 81 – 100 of 203

Showing per page

Nonlinear separable equations in linear spaces and commutative Leibniz algebras

D. Przeworska-Rolewicz (2010)

Annales Polonici Mathematici

We consider nonlinear equations in linear spaces and algebras which can be solved by a "separation of variables" obtained due to Algebraic Analysis. It is shown that the structures of linear spaces and commutative algebras (even if they are Leibniz algebras) are not rich enough for our purposes. Therefore, in order to generalize the method used for separable ordinary differential equations, we have to assume that in algebras under consideration there exist logarithmic mappings. Section 1 contains...

On a new set of orthogonal polynomials

Franz Hinterleitner (2003)

Archivum Mathematicum

An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.

Currently displaying 81 – 100 of 203