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《Journal of Jilin University (Science Edition)》 1987-03
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Boundary Value Problems for Singularly Perturbed Differential-difference Equations

Miao Shumei and Zhou Qinde(Department of Mathematics, Jilin University)  
In this paper the existence of the solutions satisfying the boundary conditions x|(_τ≤t≤o)=(?)(t), (αx+βx')|_(t=1)=A to the differential-difference equations x"(t) =f(t,x(t),x(t-τ),x'(t)), o≤t≤1, is discussed, then the existence of the solutions satisfying the same kind of boundary conditions to the singularly perturbed differential-difference equations εx"(t) =f(t,x(t),x(t-τ),x'(t),ε), O≤t≤1,is proved by using the method of constructing upper and lower solutions, and the asymptotic estimation of the solution is given as well.
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【References】
Chinese Journal Full-text Database 5 Hits
1 Lu Shiping (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC);BVP FOR SINGULARLY PERTURBED SECOND ORDER INTEGRO DIFFERENTIAL DIFFERENCE EQUATION[J];Journal of Anhui Normal University(Natural Science);1997-03
2 Lu Shiping (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC);A KIND OF BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED THREE ORDER DIFFERENCE EQUATION WITH DELAY[J];Journal of Anhui Normal University(Natural Science);1998-01
3 SHI Lei,WANG Guo-can(School of Software,Dalian Jiaotong University,Dalian,Liaoning 116028,China);Existence and uniqueness of solutions for Robin boundary value problems of third order nonlinear differential-difference equation[J];Basic Sciences Journal of Textile Universities;2008-02
4 Miao Shumei (Department of Mathematics, Jilin University);A Class of the Singularly Perturbed Boundary Value Problems with a Fixed Time Delay[J];Journal of Jilin University;1988-01
5 Miao Shumei(Department of Mathematics, Jilin Universily);The Asymptotic Estimation of Solution of Singularly Perturbed Boundary Value Problem for Nonlinear Differential-Difference Equation[J];Journal of Jilin University;1989-04
【Citations】
Chinese Journal Full-text Database 1 Hits
1 W. I. Owen and R. H. Wany;PERTURBATION OF THE PERIODIC SOLUTIONS OF DIFFERENCE-DIFFEREnTIAL EQUATIONS[J];Journal of Jilin University;1959-02
【Co-references】
Chinese Journal Full-text Database 4 Hits
1 Lu Shiping (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC);BVP FOR SINGULARLY PERTURBED SECOND ORDER INTEGRO DIFFERENTIAL DIFFERENCE EQUATION[J];Journal of Anhui Normal University(Natural Science);1997-03
2 WANG Guo-can(School of Mathmatics and Physics,Dalian Jiaotong University,Dalian 116028,China);Existence and Uniqueness of Robin Boundary Value Problems of Second Integro-Differential-Difference Equation[J];Journal of Dalian Railway Institute;2006-03
3 Li Longtu Qian Xiangzheng(Department of Applied Mathematics,Hunan Univ);A Boundary Value Problem for Third Order Differertial Equation with Deviating Arguments[J];JOURNAL OF HUNAN UNIVERSITY(NATURNAL SCIENCES);1994-04
4 Miao Shumei(Department of Mathematics, Jilin Universily);The Asymptotic Estimation of Solution of Singularly Perturbed Boundary Value Problem for Nonlinear Differential-Difference Equation[J];Journal of Jilin University;1989-04
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 Lu Shiping (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC);A KIND OF BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED THREE ORDER DIFFERENCE EQUATION WITH DELAY[J];Journal of Anhui Normal University(Natural Science);1998-01
2 Miao Shumei(Department of Mathematics, Jilin Universily);The Asymptotic Estimation of Solution of Singularly Perturbed Boundary Value Problem for Nonlinear Differential-Difference Equation[J];Journal of Jilin University;1989-04
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