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Equivalence of functional-differential equations of neutral type and abstract Cauchy problems

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Abstract

Equivalence of functional-differential equations of neutral type to well-posed abstract Cauchy problems in the state spaces ℝn}L p,L p resp.C is investigated. The assumptions allow non-atomic difference operators.

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References

  1. Burns, J. A., Herdman, T. L., Stech, H. W.: Linear functional differential equations as semigroups on product spaces. SIAM J. Math. Analysis14, 98–116 (1983).

    Google Scholar 

  2. Hale, J. K.: Theory of Functional Differential Equations. New York: Springer. 1977.

    Google Scholar 

  3. Hewitt, E., Ross, K.: Abstract Harmonic Analysis I. Berlin: Springer. 1963.

    Google Scholar 

  4. Kappel, F., Kang pei Zhang: On neutral functional differential equations with nonatomic difference operator. J. Math. Analysis Appl., to appear.

  5. Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. New York: Springer. 1983.

    Google Scholar 

  6. Salamon, D.: Control and Observation of Neutral Systems. London: Pitman. 1984.

    Google Scholar 

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Authors and Affiliations

  1. Institut für Mathematik, Universität Graz, A-8010, Graz, Austria

    F. Kappel

  2. Department of Mathematics, Anhui University, Hofei, People's Republic of China

    Kang pei Zhang

Authors
  1. F. Kappel
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  2. Kang pei Zhang
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Additional information

This work was supported by the Fonds zur Förderung der wissenschaftlichen Forschung (Austria) under Grant No. P4534.

Work done by this author was done during a stay at the University of Graz from October 1981 till April 1984.

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Kappel, F., Zhang, K.p. Equivalence of functional-differential equations of neutral type and abstract Cauchy problems. Monatshefte für Mathematik 101, 115–133 (1986). https://doi.org/10.1007/BF01298925

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  • DOI: https://doi.org/10.1007/BF01298925

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