Name: Integrability of Resolvents of Systems of Volterra Equations
Creator: Gripenberg, Gustaf
Keywords: Integro-ordinary differential equations, Systems of nonsingular linear integral equations, matrix equations, systems of Volterra equations, Volterra integral equations, 0101 mathematics, Asymptotics of solutions to integral equations, 01 natural sciences, integrability of resolvents

Integrability of resolvents of systems of Volterra equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1981 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 12, pages 585-594 (issn: 0036-1410, eissn: 1095-7154,

Authors: Gripenberg, Gustaf;

doi: 10.1137/0512051

Integrability of Resolvents of Systems of Volterra Equations

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Abstract

The integrability of the resolvents of systems of Volterra integral and integrodifferential equations is studied. The matrix kernels in the equations need not be integrable, and some of the conditions used are shown to be both necessary and sufficient.

Keywords

Integro-ordinary differential equations, Systems of nonsingular linear integral equations, matrix equations, systems of Volterra equations, Volterra integral equations, Asymptotics of solutions to integral equations, integrability of resolvents

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