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Dissipativity of delay functional differential equations with bounded lag |
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| Authors: | Hongjiong Tian Ni Guo |
| Institution: | a Department of Mathematics, Shanghai Normal University, Division of Computational Science, E-Institute of Shanghai Universities, Scientific Computing Key Laboratory of Shanghai Universities, 100 Guilin Road, Shanghai 200234, PR China b Department of Mathematics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, PR China |
| Abstract: | Delay functional differential equations are essentially different from ordinary differential equations because their phase space is infinite dimensional. We first establish a sufficient condition for delay functional differential equations with bounded lag to be dissipative. Then we construct a one-leg θ-method to solve such dissipative equations and prove that it is dissipative if θ=1. One numerical example is given to confirm our theoretical result. |
| Keywords: | Dissipativity Delay functional differential equation Bounded lag |
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