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Mean-value theorems and the nonoscillatory nature of solutions of partial differential equations in the spaces En and Pn

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Ukrainian Mathematical Journal Aims and scope

Abstract

Analogs of the mean-value theorem are obtained for the Poisson equation with the Laplace-Beltrami operator in Euclidean and spherical spaces.

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References

  1. R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1964).

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  2. M. K. Bugir, “Oscillation properties of solutions of linear differential equations in spaces of constant curvature,” Differents. Uravn.,26, No. 11, 1956–1961 (1990).

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  3. S. Helgason, The Radon Transform, BirkhÄuser, Boston (1980).

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  4. P. Hartman, Ordinary Differential Equations [Russian translation], Mir, Moscow (1970).

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  5. H. Bateman and A. Erdleyi (eds.), Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York (1953).

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  6. V. G. Koronev, Introduction to the Theory of Bessel Functions [in Russian], Nauka, Moscow (1971).

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Authors and Affiliations

  1. Ternopol' Finance Economics Institute, USSR

    M. K. Bugir

Authors
  1. M. K. Bugir
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, pp. 1477–1483, November, 1992.

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Bugir, M.K. Mean-value theorems and the nonoscillatory nature of solutions of partial differential equations in the spaces En and Pn . Ukr Math J 44, 1359–1365 (1992). https://doi.org/10.1007/BF01071508

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  • DOI: https://doi.org/10.1007/BF01071508

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