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EXISTENCE OF SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS 被引量:1
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作者 洪世煌 胡适耕 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第3期355-362,共8页
By establishing a comparison result and using monotone iterative methods, the theorem of existence for minimal and maximal solutions of periodic boundary value problems for second-order nonlinear integro-differential ... By establishing a comparison result and using monotone iterative methods, the theorem of existence for minimal and maximal solutions of periodic boundary value problems for second-order nonlinear integro-differential equations in Banach spaces is proved. 展开更多
关键词 ordered Banach spaces periodic boundary value problems maximal and minimal solutions
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Periodic Boundary Value Problems for Second Order Integro-Differential Equations in Banach Spaces 被引量:2
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作者 洪世煌 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第3期337-344,共8页
This paper investigates the maximal and minimal solutions of periodic boundary value problems for second order integro-differential equations in Banach spaces by establishing a comparison result and using the monotone... This paper investigates the maximal and minimal solutions of periodic boundary value problems for second order integro-differential equations in Banach spaces by establishing a comparison result and using the monotone iterative method. 展开更多
关键词 Ordered Banach space maximal and minimal solutions periodic boundary value problems.
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PERIODIC BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH “SUPREMUM”
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作者 蔡建平 《Annals of Differential Equations》 2003年第2期127-135,共9页
In this paper, the monotone iterative method of Lakshmikantham and a comparison result are applied to study a periodic boundary value problem for a nonlinear impulsive differential equation with 'supremum' and... In this paper, the monotone iterative method of Lakshmikantham and a comparison result are applied to study a periodic boundary value problem for a nonlinear impulsive differential equation with 'supremum' and the existence of maximal and minimal solutions are obtained. 展开更多
关键词 periodic boundary value problem (PBVP) monotone iterative method of Lakshmikantham SUPREMUM maximal and minimal solutions
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