Nonlinear differential algebraic equations
Copyright policy )Nonlinear differential algebraic equations
Summary: We consider a system of nonlinear ordinary differential equations that are not solved with respect to the derivative of the unknown vector function and degenerate identically in the domain of definition. We obtain conditions for the existence of a map transforming the original system to the normal form and prove a general theorem on the solvability of the Cauchy problem.
- Institute for System Dynamics and Control Theory Russian Federation
Cauchy problem, differential algebraic equation, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, existence of a solution, reduction to normal form, Transformation and reduction of ordinary differential equations and systems, normal forms, Implicit ordinary differential equations, differential-algebraic equations
Cauchy problem, differential algebraic equation, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, existence of a solution, reduction to normal form, Transformation and reduction of ordinary differential equations and systems, normal forms, Implicit ordinary differential equations, differential-algebraic equations
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