Аннотация:
Изучены условия существования и единственности псевдорешения из соболевского пространства двухточечной нелокальной краевой задачи для безтипной неоднородной системы дифференциальных уравнений в частных производных с непрерывными коэффициентами. Для построения решения задачи используется метод минимизации в соболевских пространствах.
Ключевые слова:
уравнения с частными производными, нелокальные условия, некорректная задача, псевдорешения, выпуклая задача минимизации.
Образец цитирования:
В. С. Илькив, Б. И. Пташник, “Некорректная нелокальная двухточечная задача для систем уравнений с частными производными”, Сиб. матем. журн., 46:1 (2005), 119–129; Siberian Math. J., 46:1 (2005), 94–102
Horodets'kyi V.V. Martynyuk V O., “Evolution Pseudodifferential Equations With Analytic Symbols in Spaces of S Type”, Carpathian Math. Publ., 13:1 (2021), 160–179
Horodets'kyi V.V., Martynyuk O.V., Petryshyn R.I., “Nonlocal Multipoint (in Time) Problem For Evolutionary Pseudodifferential Equations With Analytic Symbols in the Spaces of Type W”, Ukr. Math. J., 71:9 (2020), 1379–1401
V. Gorodetskiy, R. Kolisnyk, O. Martynyuk, “ON A NONLOCAL PROBLEM FOR PARTIAL DIFFERENTIAL EQUATIONS OF PARABOLIC TYPE”, BMJ, 8:2 (2020), 24
Volodymyr Ilkiv, Zinovii Nytrebych, Petro Pukach, Ihor Kohut, Bohdan Pakholok, 2019 IEEE 15th International Conference on the Experience of Designing and Application of CAD Systems (CADSM), 2019, 32
V. S. Ilkiv, Z. M. Nytrebych, P. Ya. Pukach, I. V. Kohut, B. B. Pakholok, “Analysis of measurement systems mathematical models by using the comparison of functions”, Math. Model. Comput., 6:2 (2019), 268
Gorodetskii V.V., Petrishin R.I., Verezhak A.P., “A Multipoint (in Time) Problem For One Class of Pseudodifferential Evolutionary Equations”, Ukr. Math. J., 70:3 (2018), 385–409
V.V. Gorodetskii, O.V. Martynyuk, “A nonlocal problem multipoint by time for one class of evolutionary singular equations”, Dopov. Nac. akad. nauk Ukr., 2018, no. 5, 8
G. Verezhak, V. Horodetskyi, “ON A PROPERTY OF SOLUTION OF A NONLOCAL PROBLEM IN TIME FOR SINGULAR PARABOLIC EQUATIONS”, BMJ, 6:1-2 (2018)
Gorodetskii V.V., Martynyuk O.V., Fedukh O.V., “Nonlocal Time-Multipoint Problem For a Certain Class of Evolutionary Pseudodifferential Equations With Variable Symbols: II”, Differ. Equ., 53:2 (2017), 200–211
Gorodetskii V.V. Martynyuk O.V. Fedukh O.V., “Nonlocal Time-Multipoint Problem For a Certain Class of Evolutionary Pseudodifferential Equations With Variable Symbols: i”, Differ. Equ., 53:1 (2017), 56–73
Gorodetskii V.V. Shirokovskikh A.A., “Nonlocal Time-Multipoint Problem For a Class of Evolution Pseudodifferential Equations”, Differ. Equ., 53:5 (2017), 630–645
Avalishvili G., Avalishvili M., “Nonclassical Problem For Ultraparabolic Equation in Abstract Spaces”, J. Funct. space, 2016, 5687920
Benrabah A., Rebbani F., Boussetila N., “A study of the multitime evolution equation with time-nonlocal conditions”, Balkan Journal of Geometry and Its Applications, 16:2 (2011), 13–24
V. S. Il'kiv, B. I. Ptashnyk, “Problems for partial differential equations with nonlocal conditions. Metric approach to the problem of small denominators”, Ukr Math J, 58:12 (2006), 1847