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MATHEMATICA BOHEMICA, Vol. 124, No. 1, pp. 67-76 (1999)
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# On one-sided estimates for row-finite systems of ordinary differential equations

## Gerd Herzog

* Gerd Herzog*, Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany, e-mail: ` Gerd.Herzog@math.uni-karlsruhe.de`

**Abstract:**
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.

**Keywords:** Fréchet spaces, row-finite systems, one-sided estimates, row-finite matrices

**Classification (MSC2000):** 34G20

**Full text of the article:**

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