13798.利用差分特征列方法求解一類(lèi)差分方程組

1、分類(lèi)號(hào)UDC密級(jí)公開(kāi)另囂廬夕擎碩士研究生學(xué)位論文利用差分特征列方法求解一類(lèi)差分方程組申請(qǐng)人馮延竹學(xué)號(hào)：2131057培養(yǎng)單位：數(shù)學(xué)科學(xué)學(xué)院學(xué)科專(zhuān)業(yè)：數(shù)學(xué)研究方向：數(shù)學(xué)機(jī)械化指導(dǎo)教師：蔣鯤教授副導(dǎo)師：李文婷副教授完成日期：2016年5月23曰黑龍江大學(xué)碩士學(xué)位論文AbstractInmoderntimes，withthedevelopmentofscienceandtechnologyandeconomythenonlineardiffe

2、renceequationsareusedinstatisticalproblems，biology，genetic—S，medicine，geometry，mechanics，economicsandpopulationdynamics，andmanyotherfieldswidelyFurthermore，itcouldbeusedtosolvevariousrealproblemsSothestudythattheexactsol

3、utionsofnonlineardifferenceequationsiscrucialInrecentyears，Wu’ScharacteristicsetmethodbecomesanewmethodforsolvingtheexactsolutionsofdifferenceequationsBythestudyofthecharacteristicsetmethodthereductionandexactsolutionsof

4、thenonlineardifferenceequationswillbeobtainedThisthesisisdividedintothreechaptersInthefirstchapter，weintroducetheproductionanddevelopmentofthemath—ematicsmechanizationatfirstAndthentheproductionandapplicationofthealgebra

5、characteristicsetmethod，thedifferentialcharacteristicsetmethodandthedifferencecharacteristicsetmethodareintroducedThesecondchaptermainlyintroducestheconceptsofdifferenceequationanddifferencepolynomialsystemcharacteristic

6、setmethod，includingthedefinition，lemmatheorem，propertiesandalgorithmofdifferencepolynomialsystemThethirdchapterintroducestheapplicationofsolvethenonlineardifferenceequationsbythedifferencecharacteristicsetmethodFirstinth

7、ischapter，weeffectthedifferenceequationswhichwestudyinthepaper；secondlyweusethezerodecompositiontheoremandtherelatedalgorithmsofdifferencecharacteristicsetmethodtodecomposethezerosetoftheeffectivedifferenceequationsinto3