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MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE 被引量：7

MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE
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摘要 In this paper, the author discusses the multiple positive solutions for an infinite boundary value problem of first order impulsive singular integro-differential equations on the half line by means of the fixed point theorem of cone expansion and compression with norm type. In this paper, the author discusses the multiple positive solutions for an infinite boundary value problem of first order impulsive singular integro-differential equations on the half line by means of the fixed point theorem of cone expansion and compression with norm type.
作者 郭大钧
机构地区 Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2176-2190,共15页 数学物理学报（B辑英文版）
基金 supported by the National Nature Science Foundation of China (10671167)
关键词 impulsive singular integro-differential equation infinite boundary valueproblem fixed point theorem of cone expansion and compression with normtype impulsive singular integro-differential equation infinite boundary valueproblem fixed point theorem of cone expansion and compression with normtype
分类号 O175 [理学—基础数学]
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二级参考文献5

  • 1Guo D. Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space. App1 Math Comput, 2003, 143:233-249.
  • 2Guo D. Multiple positive solutions of a boundary value problem for nth order impulsive integro-differential equations in a Banach space. Nonlinear Anal, 2004, 56:985-1006.
  • 3Guo D. Multiple positive solutions for nth-order impulsive integro-differential equations in Banach spaces. Nonlinear Anal, 2005, 60:955- 976.
  • 4Guo D. Some fixed point theorems of expansion and compression type with applications//Lakshmikantham V, ed. Nonlinear Analysis and Applications. New York: Marcel Dekker, 1987:213- 221.
  • 5Guo D, Lakshmikantham V. Nonlinear problems in abstract cones. Boston: Academic Press, 1988.

共引文献32

同被引文献49

  • 1钟文勇.分数阶微分方程多点边值问题的正解[J].吉首大学学报（自然科学版）,2010,31(1):9-12. 被引量：9
  • 2Samko S G, Kilbas A A, Marichev 0 I. Fractional integrals and derivatives (Theory and Applica-tions) [M]. Gordon and Breach Science Publishers, Switzerland, 1993.
  • 3Podlubny I. Fractional Differential Equations, Mathematics in Science and Engineering[M]. New York, London, Toronto: Academic Press, 1999.
  • 4Ding W, Wang Y. New result for a class of impulsive differential equation with integral boundary conditions[J]. Commun Nonlinear Sci Numer Simulat, 2013, 18(5): 1095-1105.
  • 5Cao J X, Chen H B. Impulsive fractional differential equations with nonlinear boundary condi- tions[J]. Mathematical and Computer Modelling, 2012, 55(3): 303-311.
  • 6Guo T L, Jiang W. Impulsive problems for fractional differential equations with boundary value conditions[J]. Computers and Mathematics with Applications, 2012, 64(10): 3281-3291.
  • 7Li X P, Chen F L, Li X Z. Generalized anti-periodic boundary value problems of impulsive fractional differential equations[J]. Commun Nonlinear Sci Numer Simulat, 2013, 18(1): 28-41.
  • 8Liu Z H, Li X W. Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations[J]. Commun Nonlinear Sci Numer Simulat, 2013, 18(6): 1362-1373.
  • 9Kilbas A A, Srivastava H M, Trujillo J J. Theory and Applications of lYactional Diiterentlal Equations[M]. North-Holland Mathematics Studies, 204, Elsevier Science B V, Amsterdam, 2006.
  • 10Chen F L. Coincidence degree and fractional boundary value problems with impulses[J]. Computers and Mathematics with Applications, 2012, 64(10): 3444-3455.

引证文献7

二级引证文献17

Acta Mathematica Scientia
2012年 第6期

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