Opuscula Math. 36, no. 4 (2016), 525-539
http://dx.doi.org/10.7494/OpMath.2016.36.4.525

 
Opuscula Mathematica

On solvability of some difference-discrete equations

Alexander V. Vasilyev
Vladimir B. Vasilyev

Abstract. Multidimensional difference equations in a discrete half-space are considered. Using the theory of periodic Riemann problems a general solution and solvability conditions in discrete Lebesgue spaces are obtained. Some statements of boundary value problems of discrete type are given.

Keywords: multidimensional difference-discrete equation, symbol, factorization, periodic Riemann problem.

Mathematics Subject Classification: 39A14, 42B05.

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  • Alexander V. Vasilyev
  • National Research Belgorod State University, Department of Mathematical Analysis, Studencheskaya 14/1, Belgorod 307008, Russia
  • Vladimir B. Vasilyev
  • Chair of Pure Mathematics, Lipetsk State Technical University, Lipetsk 398600, Russia
  • Communicated by Josef Diblík.
  • Received: 2015-09-17.
  • Accepted: 2016-01-26.
  • Published online: 2016-04-01.
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Cite this article as:
Alexander V. Vasilyev, Vladimir B. Vasilyev, On solvability of some difference-discrete equations, Opuscula Math. 36, no. 4 (2016), 525-539, http://dx.doi.org/10.7494/OpMath.2016.36.4.525

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