Existence results for implicit differential equations. (English) Zbl 0942.34005

Summary: The existence of solutions to certain systems of ordinary differential equations is studied when they are not solvable in the highest-order derivatives. The proofs of the results are based on the theory of pseudomonotone operators and a generalized Leray-Schauder degree.


34A09 Implicit ordinary differential equations, differential-algebraic equations
47H05 Monotone operators and generalizations
47H11 Degree theory for nonlinear operators
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