Author: Ieva Džeriņa

0000000001252752

AUTHOR

Ieva Džeriņa

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LYNESS DIFERENČU VIENĀDOJUMS

2020

Bakalaura darbā tiek apskatīts klasiskais Lyness diferenču vienādojums: x_(n+1)=(x_n+a)/x_(n-1) , n=0,1,… . Formulētas tās definīcijas un teorēmas no diferenču vienādojumu teorijas, kas nepieciešamas, lai analizētu minēto diferenču vienādojumu. Veikta klasiskā Lyness diferenču vienādojuma līdzsvara punkta analīze un apskatīti piemēri ar dažādām parametra a un sākuma vērtībām, konstatēts atrisinājuma periodiskums pie a=1 un a=0. Ieskicēta neatrisinātā problēma par atrisinājumu izturēšanos, ja parametrs a ir periodiska virkne.

diferenču vienādojumsMatemātikalīdzsvarsatrisinājuma periodiskumsLyness vienādojumsstabilitāte

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