Local and blowing-up solutions for an integro-differential diffusion equation and system
Borikhanov M. Torebek B.T.
July 2021Elsevier Ltd
Chaos, Solitons and Fractals
2021#148
In the present paper, the semilinear integro-differential diffusion equation and system with singular in time sources are considered. An analog of Duhamels principle for the linear integro-differential diffusion equation is proved. Using Duhamels principle, a representation of the solution and the well-posedness of the initial problem for the linear integro-differential diffusion equation are established. The results on the existence of local integral solutions and the nonexistence of global solutions to the semilinear integro-differential diffusion equation and system are presented.
Blow-up , Global weak solution , Integral solution , Integro-differential diffusion equation
Text of the article Перейти на текст статьи
Khoja Akhmet Yassawi, International Kazakh–Turkish University Sattarkhanov ave., 29, 161200, Turkistan, Kazakhstan
Kazakhstan Institute of Mathematics and Mathematical Modeling 125, Pushkin str., Almaty, 050010, Kazakhstan
Al–Farabi Kazakh National, University Al–Farabi ave. 71, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling 125 Pushkin str., Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics Ghent University, Belgium
Khoja Akhmet Yassawi
Kazakhstan Institute of Mathematics and Mathematical Modeling 125
Al–Farabi Kazakh National
Institute of Mathematics and Mathematical Modeling 125 Pushkin str.
Department of Mathematics: Analysis
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026