Densities and Fluxes of Differential-difference Equations
نویسندگان
چکیده
1. Differential-Difference Equations Dating back to the work of Fermi, Pasta, and Ulam in the 1950’s [2] differential-difference equations (DDEs) have been the focus of many nonlinear studies. A number of physically interesting problems can be modeled with nonlinear DDEs, including particle vibrations in lattices, currents in electrical networks, pulses in biological chains, etc. DDEs play important roles in queuing problems and discretizations in solid state and quantum physics. Last but not least, they are used in numerical simulations of nonlinear PDEs. Consider a nonlinear (autonomous) DDE of the form
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