Math. Model. Nat. Phenom.
Volume 14, Number 6, 2019
Reviews in mathematical modelling
|Number of page(s)||34|
|Published online||08 April 2019|
Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling★
JSC Concern “Sozvezdie”,
2 RUDN University, Moscow, Russia.
* Corresponding author: firstname.lastname@example.org
Accepted: 8 February 2019
This paper presents a review of results on nonlocal problems, functional-differential equations, and their applications, obtained during several last years. The following research areas are covered: the Kato square root problem for functional-differential operators, Vlasov equations and their applications to the modelling of high-temperature plasma, specific properties of differential-difference equations with incommensurable translations, degenerate functional-differential equations and their applications, functional-differential equations with contractions and extensions of independent variables, and operational methods for parabolic and elliptic functional-differential equations.
Mathematics Subject Classification: 34K10 / 35J15 / 35J25 / 35J47 / 35J70 / 35J75 / 35R10 / 35Q83 / 47B44 / 47G40
Key words: Nonlocal problems / functional-differential equations / applications
This work was financially supported by the Ministry of Education and Science of the Russian Federation on the program to improve the competitiveness of Peoples’ Friendship University (RUDN University) among the world’s leading research and education centers in the 2016–2020, by the Russian Foundation for Basic Research (grant No. 17-01-00401), and by the President Grant for the Government Support of the Leading Scientific Schools of the Russian Federation, No. 4479.2014.1.
© EDP Sciences, 2019
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