Existence of Multiple Positive Solutions of a Type of Impulsive Functional Differential Equations

Luxia Li, Yuanhua Qiao, Haili Wang


In this paper, we consider the non-periodic boundary value problem for a type of first order impulsive functional
 differential equation in Banach spaces. The existence of pulse in differential equations makes them an important
 area of investigation. We make use of fixed point index theory on the cone to prove existence of positive solutions.
 The conditions for existence of two and three positive solutions are given.

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DOI: https://doi.org/10.5539/jmr.v4n1p78

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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