Geodesic
On one-sided estimates for row-finite systems of ordinary differential equations
Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 67-76.

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We prove an existence and uniqueness theorem for row-finite initial value problems. The right-hand side of the differential equation is supposed to satisfy a one-sided matrix Lipschitz condition with a quasimonotone row-finite matrix which has an at most countable spectrum.
DOI : 10.21136/MB.1999.125972
Classification : 34A12, 34G20
Keywords: Fréchet spaces; row-finite systems; one-sided estimates; row-finite matrices 
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Herzog, Gerd. On one-sided estimates for row-finite systems of ordinary differential equations. Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 67-76. doi : 10.21136/MB.1999.125972. http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125972/

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