The Corner Solution for Quasilinear Differential Equation with Two Parameters
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Abstract: In this paper,the boundary value problem of quasilinear differential equationwith two parameters is studied via differential inequalities.The asymptotic solution isfound and the remainders is estimated.The asymptotic solution and estimated the remainders are given.
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Key words:
- singular perturbation /
- corner solution /
- differential inequality
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[1] K.W.Chang and F.A.Howes.,Nonlinear perturbation phenomena:Theory and application,Appl.Math.Sci,Springer-Verlag,New York Inc.,56(1984). [2] M.A.O' Donnell,Boundary and corner layer behavior in singularly perturbed semilinear systems of boundary value,SIAM J.Math.Anal.,15(1984),317-332. [3] K.W.Chang and G.X.Liu.Bom记ary and angular layer behavior in singularly perturbed semilinear systems.J.91y1.lluth.and Rlech.,5(1984) 337-344. [4] Mo Jiaqi,The solution of corner layer behavior for a singularly perturbed semilinear vector differential equation,BAIL V、(Shanghai)(1988),257-262. [5] Zhang Hanlin,On the singular perturbation of a non-linear ordinary differential equation with two parameters,J.Appl.and Mech.5(1989),471-480.
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