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Linear Systems of Integral Equations

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Abstract

A system of integral equationsis a set of two or more integral equations in two or more unknown functions. Usually, all of the equations belonging to a system are of the same type, but this need not be the case. Since linear systems of Fredholm, Volterra, or singular integral equations occur very commonly in practice, they are the subjects of this chapter.

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Notes

  1. 1.

    g is known as the Golden Ratio.

  2. 2.

    For a general discussion of these systems, see Erdogan, F., Approximate Solutions of Systems of Singular Integral Equations, SIAM J. Appl. Math., Vol. 17, No. 6, November 1969.

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© 2012 Springer Science+Business Media, LLC

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Zemyan, S.M. (2012). Linear Systems of Integral Equations. In: The Classical Theory of Integral Equations. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8349-8_8

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