Again Discussing about Singular Perturbation of General Boundary Value Problem for Higher Order Elliptic Equation Containing Two-Parameter

Lin Zong-chi

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Article Navigation > Applied Mathematics and Mechanics > 1984 > 5(3): 363-375

Lin Zong-chi. Again Discussing about Singular Perturbation of General Boundary Value Problem for Higher Order Elliptic Equation Containing Two-Parameter[J]. Applied Mathematics and Mechanics, 1984, 5(3): 363-375.

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Again Discussing about Singular Perturbation of General Boundary Value Problem for Higher Order Elliptic Equation Containing Two-Parameter

Lin Zong-chi

Department of Mathematics, Fujian Normal University, Fuzhou

Received Date: 1981-10-12
Publish Date: 1984-06-15

Abstract

Abstract

In this paper using the method of "The Two-Variable Expansion Procedure" we again discuss the construction of asymptotic expression of solution of general boundary value problem for higher order ellitptic equation containing two-parameter whose boundary condition is more general than [1], We give asymptotic expression of solution as well as the estimation corresponding to the remainder term.

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References(11)

References

[1]	(1) 林宗池,方程带两参数的高阶椭圆型方程一般边值间题的奇摄动.应用数学和力学,3,5(1982).641-652.
[2]	(2) Вишик,м.И.и Л.А.,Люстерник,УМН,12,5,(1957).3-122
[3]	(3) Линъ Цзун-чн(林宗池),P,157,ДАН СССР 157,4(1964),784-787.
[4]	(4) 郑永树、高阶椭圆型方程第一边值问题的奇摄动(I).应用数学和力学,2,5 (1981),563-574.
[5]	(5) Besjes,J.G.,J0 Math,Anal,and Appl.,49.1,(1975),24-46.
[6]	(6) 林宗池.福建师大学报(自然科学版).1(1980).1-8.
[7]	(7) 林宗池,福建师大学报(自然科学版).2(1980),1-15.
[8]	(8) Timoshenko.Sand S,Woinowskp-Kriger,Theory of Plates and Shells,2nd,ed.,N,Y,McGraw-Hill(1959).
[9]	(9) Lions,J,L,and E,Magenes,Non-Homogeneous Boundary Tialue Problem and Applications,Springer-Verlag,New York,Heideberg Berli(1972).
[10]	(10) 林宗池,福建师大学报(自然科学版)2(1979),1-10.
[11]	(11) 江福汝,复旦学报,(自然科学版).2 (1978).29-37.