Abstract
We have extended earlier results concerning the well-posedness of FDEs on product spaces. In particular, we have presented sufficient conditions for the well-posedness of a large class of functional differential equations (NNFDE). This class contains the “standard” neutral and retarded functional differential equations and many weakly singular integro-differential equations. It appears that results in this paper can be applied to infinite delay problems by using proper weighting on the state-space.
The work of this author was supported in part by the Air Force Office of Scientific Research under grant AFOSR-85-0287, the Defense Advanced Research Projects Agency under grant F49620-87-C-0116 and SDIO under contract F49620-87-C-0088.
The work of this author was supported in part by the Air Force Office of Scientific Research under grant AFOSR-84-0326 and Defense Advanced Research Projects Agency under contract F49620-87-C-0016.
The work of this author was supported in part by the Air Force Office of Scientific Research under grant AFOSR-85-0287. Parts of this research were carried out while this author was a visitor at the Interdisciplinary Center for Applied Mathematics, VPI and SU, Blacksburg, VA and was supported by Defense Advanced Research Projects Agency under contract F49620-87-C-0016.
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Burns, J.A., Herdman, T.L., Turi, J. (1989). State-space formulation for functional differential equations of neutral-type. In: Gill, T.L., Zachary, W.W. (eds) Nonlinear Semigroups, Partial Differential Equations and Attractors. Lecture Notes in Mathematics, vol 1394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086747
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DOI: https://doi.org/10.1007/BFb0086747
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