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Keywords:
partially ordered space; Newton-like iteration; affine-invariant; monotone including iteration methods; systems of nonlinear ordinary differential equations
partially ordered space; Newton-like iteration; affine-invariant; monotone including iteration methods; systems of nonlinear ordinary differential equations
Summary:
In this paper we present a new theorem for monotone including iteration methods. The conditions for the operators considered are affine-invariant and no topological properties neither of the linear spaces nor of the operators are used. Furthermore, no inverse-isotony is demanded. As examples we treat some systems of nonlinear ordinary differential equations with two-point boundary conditions.
References:
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