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A Global Existence Result for Functional Differential Equations with Causal Operators

  • Constantin Corduneanu
  • Yizeng Li

Abstract

The theory of functional differential equations with (general) causal operators has had an impressive development during the last 20 years. For an account of this development, and a large number of references, see the recent survey paper of the first author [1], or his book [2]. In particular global existence results have been included in [2], and in the paper [3] by the second author.

Keywords

Global Existence Operator Versus Functional Differential Equation Integral Inequality Banach Function Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    C. Corduneanu, Abstract Volterra equations (a survey), Math. Comp. Modeling32 (2000), 1503–1528.MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    C. Corduneanu, Integral equations and applications, Cambridge University Press, Cambridge, 1991.MATHCrossRefGoogle Scholar
  3. 3.
    Y. Li, Abstract Volterra equation with initial point data, Libertas Mathe. 13 (1993), 141–153.MATHGoogle Scholar
  4. 4.
    Y. Li, Stability problems of functional differential equations with abstract Volterra operators, J. Integral Equations Appl. 8 (1996), 47–63.MathSciNetMATHCrossRefGoogle Scholar
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    M. Mahdavi, Linear functional differential equations with abstract Volterra operators, Differential Integral Equations8 (1995), 1517–1523.MathSciNetMATHGoogle Scholar
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    C. Corduneanu, Perturbation of linear abstract Volterra equations, J. Integral Equations Appl. 2 (1990), 393–401.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Constantin Corduneanu
  • Yizeng Li

There are no affiliations available

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