Abstract
The basic equations are exposed for the following version of the inverse problem of dynamics: determine the two-dimensional potential compatible with a given family of orbits, traced by a material point. If the potential is known in advance, a nonlinear equation is satisfied by the function representing the family of orbits. Its solutions are studied in the presence of additional information on the family. The possibility of programming the motion of a material point in a preassigned region of the plane is also considered.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35690-7_44
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Anisiu, MC. (2003). PDEs in the Inverse Problem of Dynamics. In: Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (eds) Analysis and Optimization of Differential Systems. SEC 2002. IFIP — The International Federation for Information Processing, vol 121. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35690-7_2
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DOI: https://doi.org/10.1007/978-0-387-35690-7_2
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