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Transformation operators for solutions of certain nonlinear integrodifferential equations in the disk

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Literature Cited

  1. L. A. Sakhnovich, “Spectral analysis of Volterra operators and inverse problems,” Dokl. Akad. Nauk SSSR,115, No. 4, 666–669 (1957).

    Google Scholar 

  2. Yu. N. Valitskii, “On a transformation operator for Volterra type integrodifferential operators,” in: Mathematical Physics [in Russian], Naukova Dumka, Kiev (1966), pp. 23–36.

    Google Scholar 

  3. A. P. Khromov, “On a representation of the kernels of the resolvents of Volterra operators and their applications,” Mat. Sb.,89, No. 2, 207–226 (1972).

    Google Scholar 

  4. M. M. Malamud, “On perturbations of the operators of differentiation in finite, semi-infinite, and infinite intervals,” Funkts. Anal. Prilozhen.,10, No. 4, 91–92 (1976).

    Google Scholar 

  5. M. S. Eremin, “On transformation operators in a star-shaped domain of solutions of certain integrodifferential equations,” Differents. Uravn.,19, No. 6, 1048–1056 (1983).

    Google Scholar 

  6. B. A. Fuks, Introduction to the Theory of Analytic Functions of Several Complex Variables [in Russian], Gosudarstvennoe Izdatel'stvo Fizikomatematicheskoi Literatury, Moscow (1962).

  7. M. A. Evgrafov, “The method of proximal systems in the space of analytic functions and its applications in interpolation,” Tr. Mosk. Mat. Obshch.,5, 89–202 (1956).

    Google Scholar 

  8. M. M. Dragilev, “On the regular convergence of basis expansions of analytic functions (on the theory of basis in the space AR),” Studies in Current Problems of Theory of Functions of a Complex Variable [in Russian], Gosudarstvennoe Izd. Fizikomatematicheskoi Literatury, Moscow (1961), pp. 187–193.

    Google Scholar 

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Kuibyshev. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 4, pp. 197–201, July–August, 1990.

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Eremin, M.S. Transformation operators for solutions of certain nonlinear integrodifferential equations in the disk. Sib Math J 31, 695–700 (1990). https://doi.org/10.1007/BF00970644

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  • DOI: https://doi.org/10.1007/BF00970644

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