Geodesic
Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems
Applications of Mathematics, Tome 37 (1992) no. 2, pp. 123-138.

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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.
DOI : 10.21136/AM.1992.104496
Classification : 34B15, 47H07, 65J15, 65L10
Keywords: partially ordered space; Newton-like iteration; affine-invariant; monotone including iteration methods; systems of nonlinear ordinary differential equations 
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     title = {Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems},
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Voller, Rudolf L. Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems. Applications of Mathematics, Tome 37 (1992) no. 2, pp. 123-138. doi : 10.21136/AM.1992.104496. http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104496/

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