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On the Asymptotic Solutions of Boundary Value Problems for a Class of Systems of Nonlinear Differential Equations (I)

Authors:	Fu-ru Jiang

Institution:	Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University, Shanghai 200072, P R China

Abstract:	A new method is applied to study the asymptotic behavior of solutions of boundary value problems for a class of systems of nonlinear differential equations $u\prime \prime = \upsilon ,\varepsilon \upsilon \prime \prime + f\left( {x,u,u\prime } \right)\upsilon \prime - g\left( {x,u,u\prime } \right)\upsilon = 0{\text{ }}\left( {0 < \varepsilon \ll 1} \right).$ . The asymptotic expansions of solutions are constructed, the remainders are estimated. The former works are improved and generalized.

Keywords:	system of nonlinear differential equations boundary value problems asymptotic solution
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