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Variational Ultraparabolic Inequalities

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Abstract

In a bounded domain of the space ℝn +2, we consider variational ultraparabolic inequalities with initial condition. We establish conditions for the existence and uniqueness of a solution of this problem. As a special case, we establish the solvability of mixed problems for some classes of nonlinear ultraparabolic equations with nonclassical and classical boundary conditions.

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Authors and Affiliations

  1. Politechnika Krakowska, Krakow, Poland

    S. P. Lavrenyuk

  2. Lviv National University, Lviv, Ukraine

    S. P. Lavrenyuk

  3. Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv, Ukraine

    N. P. Protsakh

Authors
  1. S. P. Lavrenyuk
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  2. N. P. Protsakh
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 12, pp. 1616–1628, December, 2004.

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Lavrenyuk, S.P., Protsakh, N.P. Variational Ultraparabolic Inequalities. Ukr Math J 56, 1915–1931 (2004). https://doi.org/10.1007/s11253-005-0159-x

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  • DOI: https://doi.org/10.1007/s11253-005-0159-x

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