ArticleOriginal scientific text

Title

Integral equations of convolution type with power nonlinearity

Authors 1

Affiliations

  1. Chechen-Ingush State University, Chair of Mathematical Analysis, 32, Sheripova Street, 364 907 Groznyĭ, USSR

Bibliography

  1. S. N. Askhabov, Application of the method of monotone operators to nonlinear integral equations of the convolution type and singular integral equations, Vyssh. Uchebn. Zaved. Math. 1981, (9) (232), 64-66; English transl. in Soviet Math. (Izv. Vuz.) 25 (1981).
  2. S. N. Askhabov, N. K. Karapetyants and A. Ya. Yakubov, A nonlinear equation of convolution type, Differentsialnye Uravneniya 22 (9) (1986), 1606-1609 (in Russian).
  3. J. Bear, D. Zaslavsky and S. Irmay, Physical Principles of Water Percolation Seepage, UNESCO, 1968.
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  8. S. G. Krein et al., Functional Analysis, Nauka, Moscow 1972; English transl. of first ed., Noordhoff, 1972.
  9. W. Okrasiński, On the existence and uniqueness of nonnegative solutions of a certain non-linear convolution equation, Ann. Polon. Math. 36 (1979), 61-72.
  10. W. Okrasiński, On a nonlinear convolution equation occurring in the theory of the water percolation, ibid. 37 (1980), 223-229.
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Pages:
49-65
Main language of publication
English
Received
1988-03-10
Accepted
1990-04-27
Published
1991
Exact and natural sciences