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  • Применение специальных функциональных пространств к исследованию нелинейных интегральных уравнений, возникающих в равновесной пространственной логистической динамике
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News
July 2, 2026
Researchers Discover How Spelling Errors Slow Down Reading in Russian
Psycholinguists from the Centre for Language and Brain at HSE University–St Petersburg have shown that words that are frequently misspelled are processed more slowly by readers, even when presented with the correct spelling. The researchers confirmed this effect for the first time using Russian-language materials and found that response speed is most strongly linked to how confidently individuals can distinguish the correct spelling of a word from an incorrect one. The study has been published in The Mental Lexicon.
July 2, 2026
HSE Develops App for Assessing Phonological Processing in Children
Researchers at the HSE Centre for Language and Brain have developed a new digital tool for assessing children's phonological processing skills—the ZARYA (Sound Analysis of the Russian Language) test battery. It is the first standardised application in Russia designed to provide a fast and reliable assessment of children's ability to distinguish speech sounds, retain them in working memory, and perform phonemic analysis. The app runs on Android tablets and smartphones and is available for download from RuStore. Details of the test validation have been published in the Journal of Speech, Language, and Hearing Research.
July 1, 2026
Scientists Discover Why Europium 'Misbehaves'
Europium is a rare-earth metal responsible for the pure red glow in displays and other luminescent materials. For a long time, however, it refused to emit light when surrounded by certain organic molecules known as acylpyrazolone ligands. Chemists have now uncovered the reason: in europium complexes with these ligands, a 'black window' appears—a charge-transfer state in which the energy absorbed by the ligand is dissipated as heat rather than emitted as light. Understanding this mechanism opens the way to designing more efficient red-emitting materials for displays, fluorescent thermometers, and chemical sensors. The results have been published in Dalton Transactions.

 

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Применение специальных функциональных пространств к исследованию нелинейных интегральных уравнений, возникающих в равновесной пространственной логистической динамике

Доклады Российской академии наук. Математика, информатика, процессы управления (Российская Федерация). 2021. Т. 499. № 1. С. 35–39.
Николаев М. В., Дикман У., Nikitin A. A.

In this paper, we study a nonlinear integral equation that arises in a model of spatial logistic dynamics. The problem of this equation solution existence is investigated by introducing special spaces of functions that are integrable up to a constant. Sufficient conditions are established for the biological characteristics and the parameters of the third spatial moment closure, that guarantee the existence and uniqueness of the solution of the equation described above. In addition, it is shown that this solution is not zero. This means that under the appropriate conditions, the equilibrium state of the population of a certain species exists, unique, and does not coincide with the state of extinction.

Research target: Mathematics
Language: Russian
Full text
Keywords: интегральные уравненияintegral equations
Publication based on the results of:
Дифференциальные уравнения и численные методы. Методы решения и практические приложения (2021)
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