A minimax problem for semilinear nonlocal competitive systems

S. Lenhart; V. Protopopescu; S. Stojanovic

doi:10.1007/BF01182976

A minimax problem for semilinear nonlocal competitive systems

S. Lenhart, V. Protopopescu, S. Stojanovic

Computational Sciences & Engineering Div

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A two-sided game for the control of a stationary semilinear competitive system with autonomous sources is considered, where the controls are the kernels of the nonlocal interaction terms. The saddle point (the optimal solution of the game) is characterized as the unique solution of the associated optimality system, which is solved by an iterative scheme.

Original language	English
Pages (from-to)	113-132
Number of pages	20
Journal	Applied Mathematics & Optimization
Volume	28
Issue number	2
DOIs	https://doi.org/10.1007/BF01182976
State	Published - Sep 1993

Keywords

AMS classification: 49A45, 35K10
Elliptic systems
Game theory
Nonlinear competitive interactions
Optimal control

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10.1007/BF01182976

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abstract = "A two-sided game for the control of a stationary semilinear competitive system with autonomous sources is considered, where the controls are the kernels of the nonlocal interaction terms. The saddle point (the optimal solution of the game) is characterized as the unique solution of the associated optimality system, which is solved by an iterative scheme.",

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AB - A two-sided game for the control of a stationary semilinear competitive system with autonomous sources is considered, where the controls are the kernels of the nonlocal interaction terms. The saddle point (the optimal solution of the game) is characterized as the unique solution of the associated optimality system, which is solved by an iterative scheme.

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KW - Optimal control

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A minimax problem for semilinear nonlocal competitive systems

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Keywords

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