Existence and smoothness of solutions of a singular differential equation of hyperbolic type
Гиперболалық типтегi сингулярлық дифференциалдық теңдеудiң шешiмдерiнiң бар болуы және тегiстiгi
Существование и гладкость решений сингулярного дифференциального уравнения гиперболического типа
Muratbekov M.B. Bayandiyev Ye.N.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#107Issue 398 - 104 pp.
This paper investigates the question of the existence of solutions to the semiperiodic Dirichlet problem for a class of singular differential equations of hyperbolic type. The problem of smoothness of solutions is also considered, i.e., maximum regularity of solutions. Such a problem will be interesting when the coefficients are strongly growing functions at infinity. For the first time, a weighted coercive estimate was obtained for solutions to a differential equation of hyperbolic type with strongly growing coefficients.
hyperbolic type equation , maximal regularity , resolvent , unbounded domain
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M.Kh. Dulaty Taraz Regional University, Taraz, Kazakhstan
M.Kh. Dulaty Taraz Regional University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026