On one-sided estimates for row-finite systems of ordinary differential equations

Herzog, Gerd

Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 67-76

Abstract (VO)

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.

Détail

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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