The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics,Nonlinear Analysis: Real World Applications

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The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2021-01-15 , DOI: 10.1016/j.nonrwa.2020.103285
Sergio Fernández-Rincón , Julián López-Gómez

This paper infers from a generalized Picone identity the uniqueness of the stable positive solution for a class of semilinear equations of superlinear indefinite type, as well as the uniqueness and global attractivity of the coexistence state in two generalized diffusive prototypes of the symbiotic and competing species models of Lotka–Volterra. The optimality of these uniqueness theorems reveals the tremendous strength of the Picone identity.

更新日期：2021-01-16

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