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On Stepanov weighted pseudo almost automorphic solutions of neural networks

이현목
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.09|한국수학논문집 (Korean Journal of Mathematics)|제30권 제3호|pp. 491-502

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키워드

Clifford algebraStepanov weighted pseudo almost automorphicCellular neural networkBanach contraction mapping principle.
주제분류수학

초록

In this paper we investigate some sufficient conditions to guarantee the existence and uniqueness of Stepanov-like weighted pseudo almost periodic solutions of cellular neural networks on Clifford algebra for non-automomous cellular neural networks with multi-proportional delays. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.

Abstract

In this paper we investigate some sufficient conditions to guarantee the existence and uniqueness of Stepanov-like weighted pseudo almost periodic solutions of cellular neural networks on Clifford algebra for non-automomous cellular neural networks with multi-proportional delays. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.

참고문헌 (15)

  1. S. Abbas, "Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations", Proc. Indian Acad. Sci, 125, pp.323~351 (2015)
  2. C. Aouiti, "(µ, ν)-pseudo almost automorphic solutions of neutral type Clifford-valued high-order Hopfield neural networks with D operator", Neurocomputing, 53, pp.799~828 (2021)
  3. C. Aouiti, "The existence and the stability of weighted pseudo almost periodic solution of high-order Hopfield neural network", pp.478~485 (2016), Springer International Publishing
  4. C. Aouiti, "Pseudo almost automorphic solutions of recurrent neural networks with time-varying coefficients and mixed delays", Neural Process Lett, 45, pp.121~140 (2017)
  5. F. Cherif, "Steaponov-like pseudo almost periodic solutions of quaternion-valued for fuzzy recurrent neural networks with mixed delays", Neural Process Lett, 51, pp.2211~2243 (2020)
  6. T. Diagana, "Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces" (2013), Springer International Publishing
  7. A. M. Fink, "Almost periodic differential equations" (1974), Springer
  8. N. Hou, "Anti-periodic solutions for Clifford-valued high-order Hopfield neural networks with state-dependent and leakage delays", Int. J. Appl. Math. Comput. Sci, 30, pp.83~98 (2020)
  9. A. N. Kolmogorov, "On the representation of continuous functions of many variables by supetposition of continuous functions one variable andaddition", Doklady Akademmi Nauk SSSE, 114, pp.953~956 (1957)
  10. 이현목, "STEPANOV ALMOST PERIODIC SOLUTIONS OF CLIFFORD-VALUED NEURAL NETWORKS", 충청수학회지, 35(1), pp.39~52 (2022), 충청수학회
  11. J. Liang, "Composition of pseudo almost automorphic and asymptotically almost automorphic functions", Journal of Mathematical Analysis and Applications, 340, pp.1493~1499 (2008)
  12. B. Liu, "Global exponential convergence of non-autonomous cellular neural networks with multiproportional delays", Neurocomputing, 191, pp.352~355 (2016)
  13. B. Li, "Existence and Global Exponential Stability of Pseudo Almost Periodic Solution for Clifford-Valued Neutral High-Order Hopfield Neural Networks With Leakage Delays", IEEE, 7, pp.121~140 (2019)
  14. M. Maqbul, "Stepanov-almost periodic solutions of non-autonomous neutral functional differential equations with functional delay, Mediterr", J. Math, 179(15) (2018)
  15. S. Shen, "S p-Almost periodic solutions of Clifford-valued fuzzy cellular neural networks with time-varing delays", Neural Processing Lett, 51, pp.1749~1769 (2020)

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