Application of a partial-order relation to the problem of absence of non-trivial solutions to inequalities in the complex space


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Authors

  • E.I. Galakhov Mathematical Institute named after academician S.M. Nikol'skii, Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow, Russian Federation
  • A. Hanan Mathematical Institute named after academician S.M. Nikol'skii, Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow, Russian Federation
  • A. Mohamad Department of Mathematics, Tishreen University, Latakia, Syria

DOI:

https://doi.org/10.32523/2077-9879-2026-17-3-20-30

Keywords:

absence of solutions, complex inequalities, strictly ordered set

Abstract

This article examines the possibility of constructing a definition of an order relation of complex numbers and its applications to solving mathematical problems. As a result, we derive a condition for the absence of weak solutions to second-order semilinear equations and inequalities, and expand the concept of Hölder's inequality in the complex space based on the definition of a partial order.

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Published

2026-09-30

How to Cite

Galakhov, E., Hanan, A., & Mohamad, A. (2026). Application of a partial-order relation to the problem of absence of non-trivial solutions to inequalities in the complex space. Eurasian Mathematical Journal, 17(3), 20–30. https://doi.org/10.32523/2077-9879-2026-17-3-20-30

Issue

Vol. 17 No. 3 (2026)

Section

Articles