On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions

Feng Xie, Donghua University Shanghai, P. R. China
Zhaoyang Jin, Donghua University Shanghai, P. R. China
Mingkang Ni, East China Normal University Shanghai, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 62. (2010), pp. 1-14.

Communicated by M. Feckan.Received on 2010-07-14
Appeared on 2010-10-01

Abstract: In this paper we investigate the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions. The asymptotic solution is constructed by the boundary function method, and the uniform validity of the formal solution is proved by the theory of differential equalities.


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