J4 ›› 2013, Vol. 48 ›› Issue (6): 91-95.

• Articles • Previous Articles     Next Articles

Existence of solutions for a class of second order  singular impulsive differential equations

SUN Yan-mei1, ZHAO Zeng-qin2   

  1. 1. Department of Mathematics and Information Sciences, Weifang University, Weifang 261061, Shandong, China;
    2. Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong,  China
  • Received:2013-01-07 Online:2013-06-20 Published:2013-06-09

Abstract:

The existence of solutions for a class of singular boundary value problems of second order impulsive differential equations are studied. When the nonlinear term satisfies weaker conditions, by using the method of upper and lower solutions the existence conditions of solutions for boundary value problems are obtained. The results generalize and involve some results to some degree.

Key words:  boundary value problems; second order impulsive differential equations; the method of upper and lower solutions

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