Acta mathematica scientia,Series B ›› 1985, Vol. 5 ›› Issue (2): 233-241.
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Chang K. W.1, Lin Zongchi2
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Abstract: We study the boundary value problemεy"=f(t,y,ε,μ),μ < t < 1-μ,y(t,ε,μ)|t=μ=A(ε,μ),y(t,ε,μ)|t=1-μ=B(ε,μ), where ε, μ are two positive parameters,y, f, A, B are n-dimensional vector functions and the boundary is perturbed. This vector boundary problem does not appear to have been studied. Under appropriate assumptions we obtain existence of solution and satisfies|yi(t,e,μ)-Ym(t,ε,μ)| ≤ Li(t,ε,μ)+R4(t,ε,μ)+Γi(ε,μ) where i=1, 2, …, n.
Chang K. W., Lin Zongchi. SINGULAR PERTURBATION FOR A CLASS OF SEMILINEAR SECOND ORDER SYSTEMS WITH PERTURBATION BOTH IN BOUNDARY AND IN OPERATOR[J].Acta mathematica scientia,Series B, 1985, 5(2): 233-241.
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