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Boundedness of discrete Volterra systems

최성규|구남집|구윤회
대한수학회 (The Korean Mathematical Society)|2007.11|대한수학회보 (Bulletin of the KMS)|제44권 제4호|pp. 663-675

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Abstract

We investigate the representation of the solution of discretelinear Volterra dierence systems by means of the resolvent matrix andfundamental matrix, respectively, and then study the boundedness of thesolutions of discrete Volterra systems by improving the assumptions andthe proofs of Medina’s results in [6].

참고문헌 (7)

  1. "Asymptotic property of linear Volterra dierence systems", 321(1), pp.260~272 (2006)
  2. "Asymptotic property of nonlinear Volterradierence systems", 51(2), pp.321~337 (2002)
  3. "Boundedness of discreteVolterra equations", 211(1), pp.106~130 (1997)
  4. "Periodicity and stability of linear Volterra dierence systems" (1994)
  5. "An introduction to dierence quations , Second edition, Undergraduate Textsin Mathematics" (1999), Springer-Verlag, New York
  6. "Asymptotic behavior of Volterra dierence quations", 41(5-6), pp.679~687 (2001)
  7. "Boundedness and periodicity of Volterra systems of dierence quations", 4(4), pp.381~393 (1998)

관련 논문AI추천

Asymptotic behavior of nonlinear Volterra difference systems구남집, 구윤회, 최성규대한수학회 · 대한수학회보2007 · 제44권 제1호h-stability of perturbed Volterra difference systems구남집, 구윤회, 최성규대한수학회 · 대한수학회보2002 · 제39권 제1호Boundedness in the nonlinear functional differential systems구윤회, 최상일대한수학회 · 대한수학회논문집2015 · 제30권 제4호A Hybrid Volterra-Type Equation with Two Types of Impulses박종서, S. A. Belbas한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제2호Asymptotic Behaviors for Linear Difference Systems임동만, Yoon Hoe Goo한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제2호Stability in functional difference equations with applications to infinite delay Volterra difference equationsYoussef N. Raffoul대한수학회 · 대한수학회보2018 · 제55권 제6호

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