Solutions of bounded variation to linear integro-differential equations

doi:10.1016/0022-0396(81)90037-1

Journal of Differential Equations

Volume 42, Issue 1, October 1981, Pages 129-153

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Abstract

The two-point nonhomogeneous boundary value problems generated by an integro-differential expression in the space of normalized bounded variations are replaced by simpler problems generated by differential systems. The boundary conditions considered are most general up to a finite dimension and the results are formulated in such a way that no matrix equations are involved and no intermediate adjoint operators or intermediate subspaces are referred to.

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^∗: The research was carried out while the author was at Pan American University, and was supported in part by the Pan American University Faculty Research Grant.