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ASYMPTOTIC SOLUTION TO SINGULARLY PERTURBED NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS

ASYMPTOTIC SOLUTION TO SINGULARLY PERTURBED NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS
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摘要 The solvability for a kind of singularly perturbed problem of nonlinear neutral differential difference system is considered. Using the boundary layer corrective method, the formal asymptotic solution is constructed. And applying the theory of fixed point, the uniform validity of the asymptotic expansions for solution is proved. Finally, an example is given to validate the results of the problems. The solvability for a kind of singularly perturbed problem of nonlinear neutral differential difference system is considered. Using the boundary layer corrective method, the formal asymptotic solution is constructed. And applying the theory of fixed point, the uniform validity of the asymptotic expansions for solution is proved. Finally, an example is given to validate the results of the problems.
作者 Na Wang
机构地区 Dept. of Applied Math.
出处 《Annals of Differential Equations》 2013年第1期81-88,共8页 微分方程年刊(英文版)
基金 supported by Introducing Talents Program of SIT (YJ2013-33)
关键词 singular perturbation neutral differential difference equation boundary layer singular perturbation neutral differential difference equation boundary layer
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