Zhou, Hui-LingYu, Zhixian2022-04-112022-04-112017-04-11Zhou, H. L., & Yu, Z. (2017). Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays. <i>Electronic Journal of Differential Equations, 2017</i>(102), pp. 1-13.1072-6691https://hdl.handle.net/10877/15634In this article, we study the uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays. First we establish a priori asymptotic behavior of the traveling wave solutions at infinity. Then, based on Ikehara's theorem, we prove the uniqueness of the solution ψ(n - ct) with c ≤ c<sub>*</sub>, where c<sub>*</sub> < 0 is the critical wave speed.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalCellular neural networkUniquenessNon-monotoneAsymptotic behaviorDistributed delaysUniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delaysArticle