Multiple positive solutions for second order impulsive boundary value problems in Banach spaces

Zhi-Wei Lv, University of Science and Technology of China, Hefei, Anhui, P. R. China
Jin Liang, Shanghai Jiao Tong University, Shanghai, P. R. China
Ti-Jun Xiao, Fudan University, Shanghai, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 38. (2010), pp. 1-15.

Communicated by Bo Zhang.Received on 2009-12-29
Appeared on 2010-06-19

Abstract: By means of the fixed point index theory of strict set contraction operators, we establish new existence theorems on multiple positive solutions to a boundary value problem for second-order impulsive integro-differential equations with integral boundary conditions in a Banach space. Moreover, an application is given to illustrate the main result.


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