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Linear equations with positive operators

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Literature Cited

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    M. A. Krasnosel'skii, Positive Solutions of Operational Equations [in Russian]. Fizmatgiz, Moscow (1962).

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    M. G. Krein and M. A. Rutman, Linear Operators Which Leave a Cone in Banach Space Invariant, Uspekhi matem. Nauk,6, No. 1, 3–95 (1948).

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    L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

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    I. A. Bakhtin, M. A. Krasnosel'skii and V. Ya. Stetsenko, Continuity of Positive Linear Operators, Sib. Matem. Zh., III, No. 1, 156–160 (1962).

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    N. N. Bogolyubov and S. G. Krein, Positive Cycles of Continuous Operators, Zbirnik Prats Institute Matematiki AN USSR, Vol. 9 (1946).

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Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 8, No. 3, pp. 518–524, May–June, 1967.

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Bakhtin, I.A. Linear equations with positive operators. Soviet Mathematical Journal 8, 378–383 (1967). https://doi.org/10.1007/BF02196420

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Keywords

  • Linear Equation
  • Positive Operator