Academic Journal

Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms

التفاصيل البيبلوغرافية
العنوان: Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms
المؤلفون: Allaberen Ashyralyev, Sa’adu Bello Mu’azu
المصدر: Mathematics; Volume 11; Issue 16; Pages: 3470
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2023
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: bounded solution, delay parabolic equations, uniqueness and existence, unbounded delay term
الوصف: In the present work, an initial boundary value problem (IBVP) for the semi-linear delay differential equation in a Banach space with unbounded positive operators is studied. The main theorem on the uniqueness and existence of a bounded solution (BS) of this problem is established. The application of the main theorem to four different semi-linear delay parabolic differential equations is presented. The first- and second-order accuracy difference schemes (FSADSs) for the solution of a one-dimensional semi-linear time-delay parabolic equation are considered. The new desired numerical results of this paper and their discussion are presented.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
Relation: Difference and Differential Equations; https://dx.doi.org/10.3390/math11163470
DOI: 10.3390/math11163470
الاتاحة: https://doi.org/10.3390/math11163470
Rights: https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.D9146264
قاعدة البيانات: BASE