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A FUNNEL SECTION PROPERTYFOR SYSTEMS WITH QUASIMONOTONE INCREASING RIGHT-HAND SIDE

Published online by Cambridge University Press:  01 May 2000

GERD HERZOG
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Abstract

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Letu'=f\,(t,u) , u(0)=u_0 be an initial value problem with quasimonotone increasing right-hand side. We prove that if u,v are solutions such that u(t_0)\ll v(t_0) then there is a solution w withu(t_0)<w(t_0)<v(t_0) .

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 2 , May 2000 , pp. 239 - 242
Copyright
2000 Glasgow Mathematical Journal Trust