ON SOME CONDITIONS FOR THE EXISTENCE OF CONTROL PROBLEMS FOR THE TIME-DEPENDENT KINETIC TRANSPORT EQUATION
https://doi.org/10.18384/2224-0209-2013-1-834
Abstract
In the article linear and nonlinear control problems for the time-dependent multi-speed anisotropic kinetic transport equation are considered. The author found sufficient conditions for the existence and uniqueness of the generalized solutions of the investigated problems in various functional spaces. By proving the corresponding theorems it was shown that solutions of the investigated control problems can be obtained by the method of successive approximations.
References
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