Strong Precompactness of Bounded Sequences Under Nonlinear Ultraparabolic Differential Constraints
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DOI: 10.1007/s10958-018-3884-z
Abstract: It is shown that bounded sequences satisfying nonlinear differential constraints, strongly precompact under an exact condition of nondegeneration of these conditions. The proof is based on new localization principles for ultraparabolic H-measures with continuous indices. read more here.
Keywords: precompactness bounded; sequences nonlinear; nonlinear ultraparabolic; bounded sequences ... See more keywords
The geometry of differential constraints for a class of evolution PDEs
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DOI: 10.1016/j.geomphys.2020.103771
Abstract: Abstract The problem of computing differential constraints for a family of evolution PDEs is discussed from a constructive point of view. A new method, based on the existence of generalized characteristics for evolution vector fields,… read more here.
Keywords: evolution pdes; constraints class; geometry differential; geometry ... See more keywords
Control of the Dynamics of a System with Differential Constraints
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DOI: 10.1134/s1064230719030134
Abstract: We propose a method for solving the control problem of a system with allowance for the dynamics of actuation mechanisms. The aim of the control and kinematic properties of the system are determined by the… read more here.
Keywords: system; control; dynamics system; differential constraints ... See more keywords