Effective solutions of some dual integral equations and their applications

Elena Obolashvili

Banach Center Publications (1996)

  • Volume: 37, Issue: 1, page 251-257
  • ISSN: 0137-6934

Abstract

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Integral equations of the form (2) below, dual to (1) are studied from the point of view of finding their effective solutions, the results being given in Section 1. The results are applied in Section 2 for solving nonlocal problems for the polyharmonic functions in the half plane.

How to cite

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Obolashvili, Elena. "Effective solutions of some dual integral equations and their applications." Banach Center Publications 37.1 (1996): 251-257. <http://eudml.org/doc/208603>.

@article{Obolashvili1996,
abstract = {Integral equations of the form (2) below, dual to (1) are studied from the point of view of finding their effective solutions, the results being given in Section 1. The results are applied in Section 2 for solving nonlocal problems for the polyharmonic functions in the half plane.},
author = {Obolashvili, Elena},
journal = {Banach Center Publications},
keywords = {Fourier integral transform; dual integral equations; nonlocal problems; polyharmonic functions},
language = {eng},
number = {1},
pages = {251-257},
title = {Effective solutions of some dual integral equations and their applications},
url = {http://eudml.org/doc/208603},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Obolashvili, Elena
TI - Effective solutions of some dual integral equations and their applications
JO - Banach Center Publications
PY - 1996
VL - 37
IS - 1
SP - 251
EP - 257
AB - Integral equations of the form (2) below, dual to (1) are studied from the point of view of finding their effective solutions, the results being given in Section 1. The results are applied in Section 2 for solving nonlocal problems for the polyharmonic functions in the half plane.
LA - eng
KW - Fourier integral transform; dual integral equations; nonlocal problems; polyharmonic functions
UR - http://eudml.org/doc/208603
ER -

References

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  1. [1] V. I. Azamatova, Integral equations with the difference and summary kerns in the space (α,β), Izv. AN BSSR Phys. Math. No. 5 (1972), 24-33 (Russian). 
  2. [2] F. D. Berkovic, An integral equation on the semi-axis, Izv. Vyssh. Uchebn. Zaved. Mathem. 1966 no. 1 (50), 3-14. (Russian). 
  3. [3] F. D. Gakhov, U. I. Cherski, Equations of convolution type, (Russian), 'Nauka', Moscow, 1978. 
  4. [4] N. I. Muskhelishvili, Singular integral equations, Groningen, Noordhoff, 1963. 
  5. [5a] E. I. Obolashvili, Nonlocal problems for some partial differential equations, Applicable Analysis, vol. 45, 1992, 269-280. Zbl0771.35012
  6. [5b] E. I. Obolashvili, Nonlocal problems for the Beltrami Equation and Polyharmonic Functions, Proceedings devoted to N. I. Muskhelishvili's anniversary, Tbilisi 1994. 
  7. [6] V. V. Sobolev, Diffuse irradiation in a medium with mirror reflection boundaries, DAN SSSR 136 (1961) 571-574 (Russian). Zbl0103.23202
  8. [7] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford 1950. Zbl0017.40404

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