Classification schemes for positive solutions of nonlinear differential systems☆

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Abstract

Classification schemes for solutions of a class of nonlinear two-dimensional nonlinear differential systems are given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of these solutions are also provided.

Keywords

Two dimensional
Nonlinear differential systems
Positive solutions
Classification scheme
Existence
Fixed-point theorems

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☆

Supported by the NNSF of China (10171040), the NSF of Gansu Province of China (ZS011-A25-007-Z), the Foundation for University Key Teacher by the Ministry of Education of China, and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of Ministry of Education of China.

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