幾類具分段常數變元脈沖微分方程的定性性質.pdf

1、湖南師范大學碩士學位論文幾類具分段常數變元脈沖微分方程的定性性質姓名：羅美紅申請學位級別：碩士專業(yè)：基礎數學指導教師：申建華20050401ABSTRACTThethesisofMaster’SDegreeiscomposedoftwochaptersInthefilst：hat)ter，Westudythestabilityandoscillationoftheequationstirstfz’(t)=a(t)x(t)ac(t)x(2

2、[(t1)／2])，t≥0，￡≠n，禮∈Z，Ix(2n—l一)一x(2n一1)=Gx(2n—1)，n∈ZNextwestudytheoscillationthenonoscillationoftheequationsIXI(￡)a(t)x(t)6(t)z(瞳一1】)=0，t≥0，t≠n，n∈zIz(n一)一z(n)=c二z(n)，ci1，n∈ZLastwestudytheoscillationcriteriaoftheequations

3、IXt0)a(t)x(t)6(￡)z(陋一叫)=0，t≥0，t≠n，n∈ZIx(n一)一x(n)=I％z(n)，cTn一l，禮∈zInchaptertwo，theexistenceofperiodicsolutionsfortheequationsfz7(￡)二A0(t)z(￡)Al(￡)。(Ⅲ)A2(￡)。(瞄一1】)A30)z(陋1])，(￡)，t≠n，n∈Z1z(禮一)一z(n)=6z(禮)，n∈Zisstudiedbyconst

4、ructingperiodicsequencesolutionsofdifferenceequationsTheresultofthispaperrevealstheinternalrelationsofthequalitativepropertiesbetweentheimpulsiveequationswediscussandthecorrespondingequationswith—outiuq)ulseItalsodepicts