On certain properties of linear iterative equations

• Autorzy: Jean-Claude Ndogmo , Fazal Mahomed
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Linear iterative equation; Recurrence relations; Canonical form; Coefficients characterization; Normal form

Kategorie tematyczne

• 65F10: Iterative methods for linear systems
• 65Q30: Recurrence relations
• 35A24: Methods of ordinary differential equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 4
• Strony: 648-657

Daty

wydano

2014-04-01

online

2014-01-17

Twórcy

autor

Jean-Claude Ndogmo

• University of the Witwatersrand

autor

Fazal Mahomed

• University of the Witwatersrand

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0364-z