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MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SUPERLINEAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE 被引量:3

MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SUPERLINEAR 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 superlinear 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 superlinear integro-differential equations on the half line by means of the fixed point theorem of cone expansion and compression with norm type.
作者 Guo Dajun
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1167-1178,共12页 数学物理学报(B辑英文版)
基金 Research supported by the NSFC (10671167).
关键词 impulsive superlinear integro-differential equation infinite boundary value problem fixed point theorem of cone expansion and compression with norm type impulsive superlinear integro-differential equation infinite boundary value problem fixed point theorem of cone expansion and compression with norm type
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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.

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