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Existence of global solutions of some ordinary differential equations
Authors:U Elias
Institution:Department of Mathematics, Technion - IIT, Haifa 32000, Israel
Abstract:Existence of globally defined solutions of ordinary differential equations is considered. The article studies the situation when most of the solutions run away to infinity in a finite time interval, but between them there exists at least one solution which is defined at all times.
Keywords:ODE  Global solution  Runaway solution  Escape time  Funnel
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