On detection of belonging of two points to one trajectory
2003
The problem of whether two given points belong to one trajectory of given system of nonlinear autonomous differential equations or not is considered. Some variation task with the functional in the form of norm of Hilbert space for set of functions with one parameter is formulated. The solution is given in the form of modified Picard approximations to the solutions of the system of differential equations.
Keywords:
- Differential algebraic equation
- Distributed parameter system
- Hilbert's nineteenth problem
- Mathematical optimization
- Projected dynamical system
- C0-semigroup
- Hilbert manifold
- Mathematical analysis
- Numerical partial differential equations
- Nonlinear system
- Mathematics
- Applied mathematics
- Dynamical systems theory
- Differential equation
- Parallel computing
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