Orbital Hausdorff Stability of the Solutions of Differential Equations with Variable Structure and Impulses
Abstract
The concept of orbital gravitation for the systems of differential equations (SDE) with fixed structure and without impulses is introduced. The problems for non-autonomous nonlinear SDE with variable structure and impulses are the main object of investigation. Sufficient conditions for Hausdorff orbital stability of the solutions of such systems are found. The main requirement is any component of the systems to be orbital gravitating.
Full Text: PDF DOI: 10.15640/arms.v3n1a8
Abstract
The concept of orbital gravitation for the systems of differential equations (SDE) with fixed structure and without impulses is introduced. The problems for non-autonomous nonlinear SDE with variable structure and impulses are the main object of investigation. Sufficient conditions for Hausdorff orbital stability of the solutions of such systems are found. The main requirement is any component of the systems to be orbital gravitating.
Full Text: PDF DOI: 10.15640/arms.v3n1a8
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