Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications | Zendy

Ruyun Ma | Zendy; Ruipeng Chen | Zendy; Yanqiong Lu | Zendy

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Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications

Author(s) -

Ruyun Ma,

Ruipeng Chen,

Yanqiong Lu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/705298

Subject(s) - nonlinear system , eigenvalues and eigenvectors , mathematics , boundary (topology) , boundary value problem , class (philosophy) , upper and lower bounds , population , principal (computer security) , mathematical analysis , physics , computer science , demography , quantum mechanics , artificial intelligence , sociology , operating system

We develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. As its application, an elliptic system modeling a population divided into juvenile and adult age groups is studied, and we find sufficient conditions in terms of the principal eigenvalue of the corresponding linearized system, to guarantee the existence of coexistence states of the above juvenile-adult model

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