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Shock Wave Solution for a Class of Nonlocal Nonlinear Singularly Perturbed Boundary Value Problems with Turning Point 被引量:3

Shock Wave Solution for a Class of Nonlocal Nonlinear Singularly Perturbed Boundary Value Problems with Turning Point
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摘要 The nonlocal nonlinear boundary value problem with turning point is considered. Leading the stretched variables the formal asymptotic solution of the original problem is constructed. And by using the theory of differential inequalities the existence and uniformly validity of solution for the original boundary value problems are proved. The contribution of this paper is that, the asymptotic behavior of solution is studied by using a simple and special method. The nonlocal nonlinear boundary value problem with turning point is considered. Leading the stretched variables the formal asymptotic solution of the original problem is constructed. And by using the theory of differential inequalities the existence and uniformly validity of solution for the original boundary value problems are proved. The contribution of this paper is that, the asymptotic behavior of solution is studied by using a simple and special method.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第3期701-706,共6页 应用数学学报(英文版)
基金 Project supported by the National Natural Science Foundation of China(41275062) the Natural Science Foundation of Zhejiang Province(LY13A010005) the Natural Science Foundation of Jiangsu Province(BK2011042)
关键词 turning point nonlocal nonlinear singular perturbation shock wave turning point nonlocal nonlinear singular perturbation shock wave
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