Separability of the third-order differential operator given on the whole plane
Бүкiл жазықтықта берiлген үшiншi реттi дифференциалдық оператордың бөлiктенуi туралы
Разделимость дифференциального оператора третьего порядка, заданного на всей плоскости
Suleimbekova A.O.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#105Issue 1109 - 117 pp.
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R(−∞, +∞). Here, these coefficients can be unlimited functions at infinity. In addition under some restrictions on the coefficients, the bounded invertibility of the given operator is proved and a coercive estimate is obtained, i.e. separability is proved.
resolvent , separability , third-order differential operator
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L.N. Gumilyev Eurasian National University, Nur-Sultan, Kazakhstan
L.N. Gumilyev Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026