Аннотация:
We define the monotone functions of several real variables as well as describe the admissible operations over those and study their geometric structure. The suggested applications of our results to the stability theory of multidimensional dynamical systems are provided.
Ключевые слова:monotone functions of several variables, first integrals and Lyapunov's functions of vector fields, Hamiltonian systems.
Полный текст:
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