Higherorder asymptotic solutions of a class of boundary value problems for thirdorder differential equation with a turning point
YU Zanping ZHANG Qiongyuan ZHOU Zheyan(School of Math.and Comput.Sci.,Fujian Normal Univ.,Fuzhou 350007,China)
By using the upper and lower solutions method,a class of boundary value problems for thirdorder differential equation with a turning point in the following form: {ε~2y″′=f(t,y,ε)y″+g(t,y,ε)y′+h(t,y,ε),atb,y(a,ε)=A(ε),y′(a,ε)=B(ε),y′(b,ε)=C(ε) has been researched and constructed,where a0b and t=0 is a turning point.Then by using the theory of differential inqualities,the existence of solution is proved and the error estimate of the solution under certain conditions is obtained.


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