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Method of monotonicity and approximate computation of the value of an unbounded nonlinear operator

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Literature Cited

  1. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  2. V. A. Morozov, “Linear and nonlinear ill-posed problems,” in: Mathematical Analysis (Progress in Science and Technology) [in Russian], Vol. 2 (1973), pp. 129–178.

  3. O. A. Liskovets, “On the stable computation of the value of a closed operator,” Dokl. Akad. Nauk BSSR,15, No. 6, 481–483 (1971).

    Google Scholar 

  4. V. K. Ivanov, “Unstable linear problems with multivalued mappings,” Sib. Mat. Zh.,11, No. 5, 1009–1016 (1970).

    Google Scholar 

  5. V. A. Morozov, “On a stable method of computation of values of unbounded operators,” Dokl. Akad. Nauk SSSR,185, No. 2, 267–270 (1969).

    Google Scholar 

  6. V. N. Strakhov, “Theory of approximate solutions of ill-posed linear problems in a Hilbert space and its use in geophysical prospecting. I,” Izv. Akad. Nauk SSSR, Ser. Fiz. Zemli, No. 8, 30–53 (1969).

    Google Scholar 

  7. V. V. Vasin, “On the problem of computation of values of an unbounded operator in B-spaces,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 22–28 (1972).

    Google Scholar 

  8. M. M. Vainberg, Variational Method and Method of Monotone Operators in the Theory of Nonlinear Equations, Halsted Press (1974).

  9. Ya. I. Al'ber, “On the solution of nonlinear equations with monotone operators in a Banach space,” Sib. Mat. Zh.,16, No. 1, 3–11 (1975).

    Google Scholar 

  10. R. T. Rockafellar, “Local boundedness of nonlinear monotone operators,” Michigan Math. J.16, 397–407 (1969).

    Google Scholar 

  11. F. E. Browder, “Strongly nonlinear parabolic boundary-value problems,” Am. J. Math.,86, No. 2, 339–357 (1964).

    Google Scholar 

  12. F. E. Browder, “Nonlinear maximal monotone operators in Banach space,” Math. Ann.,175, No. 2, 89–113 (1968).

    Google Scholar 

  13. H. Brezic and G. Stampacchia, “Sur les regularite de la solutions d'inequations elliptiques,” Bull. Soc. Math. France,96, 153–180 (1968).

    Google Scholar 

  14. J. L. Lions, Certain Methods of Solution of Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1972).

    Google Scholar 

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Authors
  1. Ya. I. Al'ber
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 2, pp. 254–259, March–April, 1978.

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Al'ber, Y.I. Method of monotonicity and approximate computation of the value of an unbounded nonlinear operator. Sib Math J 19, 179–183 (1978). https://doi.org/10.1007/BF00970498

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  • DOI: https://doi.org/10.1007/BF00970498

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