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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2014.1
- 수록면
- 147 - 163 (17page)
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In this paper, we study the existence of positive solutions for singularimpulsive differential equations with integral boundary conditions𝑢"(𝑡)+𝑞(𝑡)𝑓(𝑡,𝑢(𝑡),𝑢'(𝑡))=0,𝑡∊𝕁',∆𝑢(𝑡𝑘)=𝐼𝑘(𝑢(𝑡𝑘),𝑢'(𝑡𝑘)),𝑘=1,2,…,𝑝,∆𝑢'(𝑡𝑘)=-𝐿𝑘(𝑢(𝑡𝑘),𝑢'(𝑡𝑘)),𝑘=1,2,…,𝑝,𝑢(0)=∫10𝘨(𝑡)𝑢(𝑡)𝑑𝑡, 𝑢'(1)=0,where the nonlinearity f(t, u, v) may be singular at v = 0. The proof is based onthe theory of Leray-Schauder degree, together with a truncation technique. Somerecent results in the literature are generalized and improved.
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참고문헌 (24)
참고문헌 신청
A. D'Onofrio / 2005 / On pulse vaccination strategy in the SIR epidemic model with vertical transmission / Appl. Math. Lett 18 : 729 ~ 732
C.M. Miao / 2009 / A singular boundary value problem with integral boundary condition for a first-order impulsive differential equation / (Chinese) Mathe-matics in Practice
D.Q. Jiang / 2007 / Multiple positive solutions of Sturm-Liouville problems for second order impulsive differential equations / Dynam. Systems Appl 16 : 611 ~ 624
E.K. Lee / 2004 / Multiple positive solutions of singular two point boundary value problems for second-order impulsive differential equations / Appl. Math. Comput 158 : 745
G. Jiang / 2007 / Impulsive state feedback control of a predator-prey model / J. Comput. Appl. Math 200 : 193 ~ 207
C.M. Miao / 2009 / A singular boundary value problem with integral boundary condition for a first-order impulsive differential equation / (Chinese) Mathe-matics in Practice
D.Q. Jiang / 2007 / Multiple positive solutions of Sturm-Liouville problems for second order impulsive differential equations / Dynam. Systems Appl 16 : 611 ~ 624
E.K. Lee / 2004 / Multiple positive solutions of singular two point boundary value problems for second-order impulsive differential equations / Appl. Math. Comput 158 : 745
G. Jiang / 2007 / Impulsive state feedback control of a predator-prey model / J. Comput. Appl. Math 200 : 193 ~ 207
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