二阶非线性积分微分方程组边值问题解的渐近式  

ASYMPTOTIC EXPRESSION OF THE SOLUTION OF BOUNDARY VALUE PROBLEM FOR SECOND ORDER NONLINEAR INTERGRO-DIFFERENTIAL EQUATIONS

作　　者：林苏榕[1] 

机构地区：[1]福建广播电视大学计算机系,福州350003

出　　处：《系统科学与数学》2010年第3期358-369,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家重点基础研究发展计划项目(2004CB418304);福建广播电视大学科研基金(KY08027)资助课题

摘　　要：研究n-维二阶非线性向量积分微分方程组边值问题的奇摄动,在适当的条件下,利用改进了的对角化方法、逐步逼近法和不动点定理,求得并证明非线性向量积分微分方程组边值问题解的存在性及其渐近表达式,并给出渐近估计.The singular perturbation of boundary value problem for n-dimensional vector integro-differential equations is considered. Under appropriate conditions, by using the improved diagonalization method, the method of succesive approximation and the fixed point theorem, the existence of the solution of boundary value problem is proven, and the asymptotic expression of the solution is obtained.

关 键 词：积分微分方程 奇异摄动 边值问题 对角化方法 

分 类 号：O175.6[理学—数学]