Mixed Monotone Iterative Technique and Boundary Value Problem for a Class of Impulsive Integro-Differential Equations

Mixed Monotone Iterative Technique and Boundary Value Problem for a Class of Impulsive Integro-Differential Equations

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摘要 In this paper,the existence and uniqueness of iterative solutions to the boundary value problems for a class of first order impulsive integro-differential equations were studied. Under a new concept of upper and lower solutions, a new monotone iterative technique on the boundary value problem of integro-differential equations was proposed. The existence and uniqueness of iterative solutions and the error estimation in certain interval were obtained.An example was also given to illustrate the results. In this paper,the existence and uniqueness of iterative solutions to the boundary value problems for a class of first order impulsive integro-differential equations were studied. Under a new concept of upper and lower solutions, a new monotone iterative technique on the boundary value problem of integro-differential equations was proposed. The existence and uniqueness of iterative solutions and the error estimation in certain interval were obtained.An example was also given to illustrate the results.

作者支妍妍陈海波吕晨辉

机构地区 School of Mathematics and Statistics

出处《Journal of Donghua University(English Edition)》 EI CAS 2016年第1期46-53,共8页 东华大学学报（英文版）

基金 National Natural Science Foundation of China(No.11271372) Hunan Provincial National Natural Science Foundation of China(No.12JJ2004) Central South University Graduate Innovation Project,China(No.2014zzts136)

关键词 impulsive integro-differential equations L-quasi-upper and lower solutions mixed monotone iterative technique boundary value problem impulsive integro-differential equations L-quasi-upper and lower solutions mixed monotone iterative technique boundary value problem

分类号 O29 [理学—应用数学]

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Mixed Monotone Iterative Technique and Boundary Value Problem for a Class of Impulsive Integro-Differential Equations

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