【作者】 王海侠； 周明儒；

【Author】 Wang Haixia1, Zhou Mingru2 (1 School of Science, Beijing University of Aeronautics and Astronautics, 100083 Beijing) (2 Department of Mathematics, Xu Zhou Normal University, 221116 Xuzhou)

【机构】 北京航空航天大学理学院； 徐州师范大学数学系；

【摘要】 本文通过渐近展开、对角化方法及逐步逼近法,证明了一类二阶非线性Volterra型积分微分方程组奇摄动Robin边值问题解的存在性,并得到按范数直到的一致有效估计,进而得到了三阶非线性向量奇摄动边值问题解的存在性及一致有效的渐近估计式。)( 1+NO ε更多还原

【Abstract】 In this paper, by the method of asymptotic expansion, diagonalization and successive approximation, we prove the existence of solutions of singularly perturbed Robin BVP for the system of some nonlinear second order Volterra type integral and differential equations, obtain its estimation which is uniformly valid for all orders till in norm, still obtain the existence of solutions for nonlinear third order vector singularly perturbed BVP and uniformly valid asymptotic estimation formula. )( 1+NO ε更多还原