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Zbl 1186.34121
Wu, Ranchao
Exponential convergence of BAM neural networks with time-varying coefficients and distributed delays. (English)
[J] Nonlinear Anal., Real World Appl. 11, No. 1, 562-573 (2010). ISSN 1468-1218

Summary: BAM neural networks with time-varying coefficients and distributed time delays are studied. Sufficient conditions guaranteeing the exponential componentwise convergence and existence of a unique periodic solution are obtained by the comparison principle, continuation theorem of topological degree and inequality techniques. The boundedness and differentiability of activation functions are removed. The obtained sufficient criteria are easy to verify.

MSC 2000:: *34K60 Applications of functional-differential equations
92B20 General theory of neural networks
34K25 Asymptotic theory of functional-differential equations
34K13 Periodic solutions of functional differential equations
47N20 Appl. of operator theory to differential and integral equations

Keywords: BAM neural networks; time-varying coefficient; distributed time delay; exponential convergence; periodic solution; coincidence degree

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