Displaying similar documents to “On the cardinality of solutions of multilinear differential equations and applications.”

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

Gerd Herzog (1999)

Mathematica Bohemica

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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.