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Stability of neutral Volterra integro-differential equations with infinite delay

Author

Listed:
  • Xiushuai Li

    (Shanghai Maritime University)

  • Jiao Jiang

    (Shanghai Maritime University)

Abstract

This paper is concerned with stability of neutral Volterra integro-differential equations with infinite delay by constructing explicit Lyapunov functional. The stability, uniform stability and instability of the zero solution have been obtained for Volterra integro-differential equations. Some sufficient conditions are given to guarantee the stability of the zero solution.

Suggested Citation

  • Xiushuai Li & Jiao Jiang, 2023. "Stability of neutral Volterra integro-differential equations with infinite delay," Partial Differential Equations and Applications, Springer, vol. 4(2), pages 1-7, April.
  • Handle: RePEc:spr:pardea:v:4:y:2023:i:2:d:10.1007_s42985-023-00226-2
    DOI: 10.1007/s42985-023-00226-2
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