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ON A NONLOCAL EIGENVALUE PROBLEM AND ITS APPLICATIONS TO POINT-CONDENSATIONS IN REACTION–DIFFUSION SYSTEMS
2000
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Preserved Fulltext
We consider a nonlocal eigenvalue problem which arises in the study of stability of point-condensation solutions in the Gierer-Meinhardt system and generalized Gray-Scott system. We give some su cient conditions for stability and instability. The conditions are new and can be applied to the study of stability of single point-condensation solutions.
doi:10.1142/s0218127400000979
fatcat:ruoij3omrbgvdmzikcc3nnrpvm