JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (03): 67-72.doi: 10.6040/j.issn.1671-9352.0.2014.090

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A nonlinear mixed boundary value problem for singularly perturbed forth-order differential equation

CHEN Wen, YAO Jing-sun, YANG Xue-jie   

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui, China
  • Received:2014-03-21 Revised:2014-09-30 Online:2015-03-20 Published:2015-03-13

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Abstract: A singularly perturbed boundary value problem for forth-order nonlinear differential equation with nonlinear mixed boundary condition is studied. The formal asymptotic solution is constructed by using the composite expansion method. According to the theory of differential inequalities, the existence of solution for the problem is proved and the error estimate of asymptotic solution is given.

Key words: forth-order differential equation, composite expansion method, singular perturbation, the theory of differential inequality

CLC Number: 

  • O175.14
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