Отправить статью по E-mail Problem for an Inhomogeneous Second-Order Evolutionary Equation with Homogeneous Integral Conditions
- Авторы: Kalenyuk P.I.1,2, Nytrebych Z.M.1, Kohut I.V.1, Kuduk G.2
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Учреждения:
- Institute of Applied Mathematics and Fundamental Sciences, “L’vivs’ka Politekhnika” National University
- University of Rzeszów
- Выпуск: Том 223, № 1 (2017)
- Страницы: 1-17
- Раздел: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/239285
- DOI: https://doi.org/10.1007/s10958-017-3334-3
- ID: 239285
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Аннотация
We propose a method for the solution of the problem with homogeneous integral conditions for an inhomogeneous evolutionary equation with abstract operator in a Banach space H . The right-hand side of the evolutionary equation that belongs, for the fixed time variable, to a special subspace N ⊆ H can be represented as a Stieltjes integral with respect to a certain measure. The solution of this problem is also represented as a Stieltjes integral with respect to the same measure. We present examples of application of the method to the solution of the problem with integral conditions for the second-order partial differential equation in the time variable and, in general, an infinite-order partial differential equation in the space variable.
Об авторах
P. Kalenyuk
Institute of Applied Mathematics and Fundamental Sciences, “L’vivs’ka Politekhnika” National University; University of Rzeszów
Email: Jade.Santos@springer.com
Украина, Lviv; Rzeszów
Z. Nytrebych
Institute of Applied Mathematics and Fundamental Sciences, “L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Украина, Lviv
I. Kohut
Institute of Applied Mathematics and Fundamental Sciences, “L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Украина, Lviv
G. Kuduk
University of Rzeszów
Email: Jade.Santos@springer.com
Польша, Rzeszów
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