摘要
Linear multistep methods and one-leg methods are applied to a class of index-2 nonlinear differential-algebraic equations with a variable delay.The corresponding convergence results are obtained and successfully confirmed by some numerical examples.The results obtained in this work extend the corresponding ones in literature.
基金
This work is supported by NSF of China(10971175)
Specialized Research Fund for the Doctoral Program of Higher Education of China(20094301110001)
Program for Changjiang Scholars and Innovative Research Team in University of China(IRT1179)
NSF of Hunan Province(10JJ7001)
the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province,and Fund Project of Hunan Province Education Office(11C1220).