Boundary value problem for first order impulsive functional integro-differential equations

作者：Zhang Lihong^*

来源：Journal of Computational and Applied Mathematics, 2011, 235(8): 2442-2450.

DOI：10.1016/j.cam.2010.10.045

• Upper and lower solutions in reverse order
• Impulsive integro-differential equations with deviated arguments
• Nonlinear boundary conditions
• Monotone iterative technique

This paper investigates extremal solutions of the boundary value problem for impulsive functional integro-differential equations with nonlinear boundary conditions and deviating arguments. In the presence of a lower solution u and an upper solution u with u >= v, existence of extremal solutions is proved by establishing a new comparison principle and using the monotone iterative technique.

• 出版日期2011-2-15
• 单位山西师范大学