Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The ...Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The relevance of our theorems is illustrated with two carefully selected examples.展开更多
In this paper, we present and analyze a single interval Legendre-Gaussspectral collocation method for solving the second order nonlinear delay differentialequations with variable delays. We also propose a novel algori...In this paper, we present and analyze a single interval Legendre-Gaussspectral collocation method for solving the second order nonlinear delay differentialequations with variable delays. We also propose a novel algorithm for the singleinterval scheme and apply it to the multiple interval scheme for more efficient implementation. Numerical examples are provided to illustrate the high accuracy ofthe proposed methods.展开更多
文摘Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The relevance of our theorems is illustrated with two carefully selected examples.
基金The first author is supported in part by the National Science Foundation of China(Nos.11226330 and 11301343)the Research Fund for the Doctoral Program of Higher Education of China(No.20113127120002)+5 种基金the Research Fund for Young Teachers Program in Shanghai(No.shsf018)and the Fund for E-institute of Shanghai Universities(No.E03004)The second author is supported in part by the National Science Foundation of China(No.11171225)the Research Fund for the Doctoral Program of Higher Education of China(No.20133127110006)the Innovation Program of Shanghai Municipal Education Commission(No.12ZZ131)the Fund for E-institute of Shanghai Universities(No.E03004).
文摘In this paper, we present and analyze a single interval Legendre-Gaussspectral collocation method for solving the second order nonlinear delay differentialequations with variable delays. We also propose a novel algorithm for the singleinterval scheme and apply it to the multiple interval scheme for more efficient implementation. Numerical examples are provided to illustrate the high accuracy ofthe proposed methods.
