Dissipativity of delay functional differential equations with bounded lag

[1]  Chengming Huang Dissipativity of one-leg methods for dynamical systems with delays , 2000 .

[2]  Ni Guo,et al.  Asymptotic stability, contractivity and dissipativity of one-leg theta-method for non-autonomous delay functional differential equations , 2008, Appl. Math. Comput..

[3]  Hongjiong Tian,et al.  Numerical dissipativity of multistep methods for delay differential equations , 2007, Appl. Math. Comput..

[4]  A. Bellen,et al.  Numerical methods for delay differential equations , 2003 .

[5]  R. Westervelt,et al.  Stability of analog neural networks with delay. , 1989, Physical review. A, General physics.

[6]  Liping Wen,et al.  Generalized Halanay inequalities for dissipativity of Volterra functional differential equations , 2008 .

[7]  Chengming Huang,et al.  Dissipativity of Runge-Kutta methods for dynamical systems with delays , 2000 .

[8]  Andrew M. Stuart,et al.  Runge-Kutta methods for dissipative and gradient dynamical systems , 1994 .

[9]  Hongjiong Tian Numerical and Analytic dissipativity of the theta-Method for Delay Differential Equations with a Bounded Variable Lag , 2004, Int. J. Bifurc. Chaos.

[10]  A. R. Humphries,et al.  Dynamical Systems And Numerical Analysis , 1996 .

[11]  Siqing Gan Dissipativity of linear theta-methods for integro-differential equations , 2006, Comput. Math. Appl..

[12]  Tian Hong-jiong Numerical Dissipativity of Two-stage θ-method for Delay Differential Equations , 2005 .

[13]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[14]  H. Glüsing-Lüerssen,et al.  A Behavioral Approach To Delay-Differential Systems , 1997 .