A neutral system with state-dependent delays. (English) Zbl 0543.34053
Trends in theory and practice of nonlinear differential equations, Proc. int. Conf., Arlington/Tex. 1982, Lect. Notes Pure Appl. Math. 90, 157-161 (1984).
Summary: [For the entire collection see Zbl 0519.00009.]
The two-body problem of classical electrodynamics can be modeled with a system of functional differential equations of neutral type. The delays arise from the finite speed of propagation of electromagnetic effects, and hence depend on the (unknown) trajectories. A satisfactory existence and uniqueness theorem is obtained. The proof will appear elsewhere.
The two-body problem of classical electrodynamics can be modeled with a system of functional differential equations of neutral type. The delays arise from the finite speed of propagation of electromagnetic effects, and hence depend on the (unknown) trajectories. A satisfactory existence and uniqueness theorem is obtained. The proof will appear elsewhere.
MSC:
| 34K05 | General theory of functional-differential equations |
| 78A35 | Motion of charged particles |
| 70F05 | Two-body problems |
