The boundary value problem for the loaded equation of mixed parabolic-hyperbolic type in rectangular area

Abstract


In work necessary and sufficient conditions of uniqueness of the decision of a regional problem for the loaded equation mixed parabolic hyperbolic type in rectangular area are established. The problem decision is constructed in the form of the number sum on own functions of a corresponding one-dimensional problem on own values.

About the authors

Anna V Tarasenko

Samara State University of Architecture and Civil Engineering

Email: anyutka757@mail.ru
аспирант, каф. высшей математики; Самарский государственный архитектурно-строительный университет; Samara State University of Architecture and Civil Engineering

References

  1. Нахушев А. М. Нагруженные уравнения и их приложения // Дифференц. уравнения, 1983. - Т. 19, №1. - С. 86-94.
  2. Сабитов К. Б. Функциональные, дифференциальные и интегральные уравнения. - М.: Высш. шк, 2005. - 672 с.
  3. Фихтенголъц Г. М. Курс дифференциального и интегрального исчисления. Т. 3. - М.: Наука, 1970. - 656 с.

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