Waźewski Topological Principle and V-bounded Solutions of Nonlinear Systems

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We use the Waźewski topological principle to establish a number of new sufficient conditions for the existence of proper (defined on the entire time axis) solutions of essentially nonlinear nonautonomous systems. The systems under consideration are characterized by the monotonicity property with respect to a certain auxiliary guiding function $W(t,x)$ depending on time and phase coordinates. Another auxiliary function $V(t,x)$, which is positively defined in the phase variables $x$ for any $t$, is used to estimate the deviation of the proper solutions from the origin.
19 pages

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Classical Analysis and ODEs, Dynamical Systems, 34C11; 34C12; 34D40; 34D05; 37C60

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http://salesiana.dossiersoluciones.com/handle/123456789/214116

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.0234
 http://arxiv.org/abs/0901.0234

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arXiv