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On a Simple Type of Integro-differential Equation
Published online by Cambridge University Press: 20 January 2009
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In a previous paper in these Proceedings the author discussed conditions for a maximum or minimum of functions of integrals of the type
using the methods of the Calculus of Variations. In the effort to establish a third necessary condition for a minimum—the analogue of Jacobi's condition in the ordinary variational problem—it was found that the analogue of Jacobi's Equation was an integrodifferential equation of the form
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- Copyright © Edinburgh Mathematical Society 1935
References
page 80 note 1 Gillespie, R. P.Pioc. Edinburgh Math. Soc. (2), 3 (1932), 87–98.CrossRefGoogle Scholar
page 80 note 2 CfBolza, O.Vorlesungen über Variationsrechnung (1909), 68–87.Google Scholar
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