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A note on systems of linear integrodifferential equations

Author: Robert L. Wheeler
Journal: Proc. Amer. Math. Soc. 35 (1972), 477-482
MSC: Primary 45M05; Secondary 45J05
MathSciNet review: 0306850
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Abstract: Assume the existence and boundedness of a solution to a linear system of integrodifferential equations. Conditions are found which guarantee the solution is asymptotically almost periodic.

References [Enhancements On Off] (What's this?)

  • [1] Maurice Fréchet, Les fonctions asymptotiquement presque-périodiques, Revue Sci. (Rev. Rose Illus.) 79 (1941), 341–354 (French). MR 0013242
  • [2] J. J. Levin and D. F. Shea, On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III, J. Math. Anal. Appl. 37 (1972), 42–82; ibid. 37 (1972), 288–326; ibid. 37 (1972), 537–575. MR 0306849

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Keywords: Linear integrodifferential equation, linear system, asymptotic behavior, bounded solution, Volterra equation
Article copyright: © Copyright 1972 American Mathematical Society