A perturbation theorem for partial differential operators
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- by R. Saeks and M. Strauss PDF
- Proc. Amer. Math. Soc. 50 (1975), 189-197 Request permission
Abstract:
Existence and uniqueness of solutions to a class of operator equations is shown. This class includes a large subclass of partial differential operators.References
- I. C. Gohberg and M. G. Kreĭn, Theory and applications of Volterra operators in Hilbert space, Translations of Mathematical Monographs, Vol. 24, American Mathematical Society, Providence, R.I., 1970. Translated from the Russian by A. Feinstein. MR 0264447
- M. S. Brodskiĭ, On the triangular representation of completely continuous operators with one-point spectra, Uspehi Mat. Nauk 16 (1961), no. 1 (97), 135–141 (Russian). MR 0130566
- Romano M. De Santis, On a generalized Volterra equation in Hilbert space, Proc. Amer. Math. Soc. 38 (1973), 563–570. MR 317102, DOI 10.1090/S0002-9939-1973-0317102-4 R. M. De Santis and W. A. Porter, On the generalization of the Volterra principle of inversion, Tech. Report #74, University of Michigan Systems Engineering Lab., Ann Arbor, Mich., 1973.
- M. S. Brodskiĭ, Treugol′nye, i zhordanovy predstavleniya lineĭ nykh operatorov, Izdat. “Nauka”, Moscow, 1969 (Russian). MR 0259648
- R. Saeks, Resolution space operators and systems, Lecture Notes in Economics and Mathematical Systems, Vol. 82, Springer-Verlag, Berlin-New York, 1973. MR 0465307 R. M. De Santis, Causality structure of engineering systems, Ph.D. Thesis, University of Michigan, Ann Arbor, Mich., 1971.
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 189-197
- MSC: Primary 47A50; Secondary 35A35, 94A20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0634816-9
- MathSciNet review: 0634816