Application of a Partial-order Relation to the Problem of Absence of Non-trivial Solutions to Inequalities in the Complex Space
Year: 2026
Type: article
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.
Source: Eurasian Mathematical Journal
Authors: Evgeny Galakhov, Ali Hanan, Ali Mohamad
Institutions: Peoples' Friendship University of Russia, Latakia University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7221030833