S.T. Glad
Abstract
The existence of real solutions to polynomial systems of implicit differential equations, differential inequations and differential inequalities is considered. A transformation to a standard form is achieved using methods of differential algebra. The problem then reduces to a problem in real (non-differential) algebra.
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The existence of real solutions to polynomial systems of implicit differential equations, differential inequations and differential inequalities is considered. A transformation to a standard form is achieved using methods of differential algebra. The problem then reduces to a problem in real (non-differential) algebra.
Key concepts: Algebraic differential equation, Differential algebraic geometry, Mathematics, Differential algebra, Algebra over a field, Differential (mechanical device), Differential algebraic equation, Integrating factor