Minggao Wang, Fuyi Xu, Qiuyun Tang, The positive solutions to the boundary value problem of a nonlinear singular impulsive differential system, Vol. 2022 (2022), Article ID 21, pp. 1-12

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DOI: 10.23952/jnfa.2022.21

Received August 24, 2021; Accepted March 26, 2022; Published May 22, 2022

 

Abstract In this paper, the boundary value problem of a class of nonlinear singular impulsive differential equations in Banach space is studied. By constructing a special cone and defining a special operator, the impulsive problem is transformed into a continuous problem. By using the fixed point theorem of cone extension and cone compression, the existence of multiple positive solutions is obtained.

 

How to Cite this Article:
M. Wang, F. Xu, Q. Tang, The positive solutions to the boundary value problem of a nonlinear singular impulsive differential system, J. Nonlinear Funct. Anal. 2022 (2022) 21.