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New method to solve certain differential equations

100%

Rajchel K., Szczęsny J.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2016

tom 15

A new method to solve stationary one-dimensional Schroedinger equation is investigated. Solutions are described by means of representation of circles with multiple winding number. The results are demonstrated using the well-known analytical solutions of the Schroedinger equation.

On certain properties of linear iterative equations

76%

Ndogmo J.-C., Mahomed F.

Open Mathematics

2014

tom 12

nr 4

648-657

An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations is obtained, and this gives rise to the derivation of important symmetry properties for iterative equations. The transformation mapping a given iterative equation to the canonical form is obtained in terms of the simplest determining equation, and several examples of application are discussed.

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Open Mathematics

1 Mahomed F.

1 Ndogmo J.-C.

1 Rajchel K.

1 Szczęsny J.

1 2016

1 2014

Wyniki wyszukiwania

New method to solve certain differential equations

On certain properties of linear iterative equations