<p>In this work, we discuss some questions of the qualitative theory of ordinary differential equations: topographic Poincaré systems and more general comparison systems; problems of the existence and uniqueness of trajectories having infinitely distant points as limit sets; elements of the qualitative theory of monotone vector fields.</p>

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Topographic Poincaré Systems and Comparison Systems of Small and High Orders

  • M. V. Shamolin

摘要

In this work, we discuss some questions of the qualitative theory of ordinary differential equations: topographic Poincaré systems and more general comparison systems; problems of the existence and uniqueness of trajectories having infinitely distant points as limit sets; elements of the qualitative theory of monotone vector fields.