Abstract
In this paper we study the perturbed boundary value problem of the form
in which x, f, β∈Em, y, g, a∈En, 0<ε≪1 and a1(ε), a2(ε), b1(ε) and b2(ε) are matrices of the appropriate size. Under the condition that gγ(t) is nonsingular and other suitable restrictions, the existence of the solution is proved, the asymptotic expansion of solution of order n is constructed, and the remainder term is estimated.
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Communicated by Jiang Fu-ru
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Sheng-liang, K., Qi, C. Singular perturbation of nonlinear vector boundary value problem. Appl Math Mech 9, 873–880 (1988). https://doi.org/10.1007/BF02465731
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DOI: https://doi.org/10.1007/BF02465731