EXTREMAL SOLUTIONS OF TERMINAL VALUE PROBLEMS FOR NONLINEAR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES 被引量：6

EXTREMAL SOLUTIONS OF TERMINAL VALUE PROBLEMS FOR NONLINEAR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

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摘要 The comparison principle is first established,and then the lower and upper solution method and the monotone iterative technique are employed to the study of terminal value problems for the first order nonlinear impulsive integro\|differential equations in Banach spaces.Finally,the existence theorem on the maximal and minimal solutions is obtained. The comparison principle is first established,and then the lower and upper solution method and the monotone iterative technique are employed to the study of terminal value problems for the first order nonlinear impulsive integro\|differential equations in Banach spaces.Finally,the existence theorem on the maximal and minimal solutions is obtained.

作者 Qi ShishuoDept. of Math.,Shandong Univ.,Jinan 250100.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第1期37-44,共8页 高校应用数学学报（英文版）（B辑）

关键词 Banach space im pulsive integro-differentialequation term inalvalue problem cone. Banach space,im pulsive integro-differentialequation,term inalvalue problem ,cone.

分类号 O175.6 [理学—基础数学]

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