SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMI-LINEAR RETARDED DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
REN Jing-li1,2, GE Wei-gao1
1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R.China; 2. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P.R.China
[1] Lange C G, Miura R M. Singular perturbation analysis of boundary value problem for differential difference equations[J]. SIAM J Appl Math, 1982,42(3):502-503. [2] MIAO Shu-mei, ZHOU Qin-de. The asymptotic expansions of singularly perturbed boundary value problems for semi-linear differential difference equations[J]. Northeastern Math J, 1989,5(3):283-293. [3] ZHOU Qin-de, MIAO Shu-mei. The boundary value problem for differential difference equations[J]. Acta Math Sinica, 1989, 32(1): 55-70. (in Chinese) [4] LU Shi-ping.A kind of singularly perturbed boundary value problems for nonlinear Volterra functional differential equations[J]. Ann Differential Equations, 1998,14(2):247-253. [5] LU Shi-ping. A kind of singularly perturbed boundary value problems for nonlinear Volterra functional differential equations[J]. Appl Math Chinese Univ, Ser B, 2000,15 (2): 137-142. [6] Klasen G A. Differential inequalities and existence theorems for second order boundary value problems[J]. Differenatial Equations, 1971,10(4):529-531. [7] Hale J. Theory of Functional Differential Equations[M].New York: Springer-Verlag, 1977.
Email Alert
RSS