PERIODIC BOUNDARY VALUE PROBLEM FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATION OF MIXED TYPE ON TIME SCALES  

作　　者：Valery G.Romanovski 

机构地区：[1]Center for Applied Math. and Theoretical Physics, University of Maribor

出　　处：《Annals of Differential Equations》2009年第2期195-207,共13页微分方程年刊（英文版）

基　　金：supported by Shanghai Normal University Leading Academic Discipline Project DZL805;National Natural Science Foundation of China (10671127);National Natural Science Foundation of Shanghai (08ZR1416000), Ad futura scientific and educational foundation of the Republic of Slovenia, the Ministry of Higher Education, Science and Technology of the Republic of Slovenia, by the Nova Kreditna Banka Maribor and by TELEKOM Slovenije

摘　　要：We prove several new comparison results and develop the monotone iterative technique to show the existence of extremal solutions to a kind of periodic boundary value problem (PBVP) for nonlinear integro-differential equation of mixed type on time scales.We prove several new comparison results and develop the monotone iterative technique to show the existence of extremal solutions to a kind of periodic boundary value problem (PBVP) for nonlinear integro-differential equation of mixed type on time scales.

关 键 词：time scales integro-differential equations periodic boundary value problem iterative method 

分 类 号：O175[理学—数学]