Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations
Authors:
Article info
2017-04-12
2018-01-24
19 - 46
Keywords
- Differential Equations
- Hyers-Ulam-Rassias Stability
- Semi-linear Systems
Abstract
This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential equations.Illustrative examples will be given.
Qarawani, M. (2018). Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. An-Najah University Journal for Research - A (Natural Sciences), 32(1), 19–46. https://doi.org/10.35552/anujr.a.32.1.1541
[1]M. Qarawani, “Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations,” An-Najah University Journal for Research - A (Natural Sciences), vol. 32, no. 1, pp. 19–46, Feb. 2018, doi: 10.35552/anujr.a.32.1.1541.
Qarawani, Maher. “Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations.” An-Najah University Journal for Research - A (Natural Sciences), vol. 32, no. 1, Feb. 2018, pp. 19–46. Crossref, https://doi.org/10.35552/anujr.a.32.1.1541.
1.Qarawani M. Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2018 Feb;32(1):19–46. Available from: http://dx.doi.org/10.35552/anujr.a.32.1.1541
Qarawani, Maher. “Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations.” An-Najah University Journal for Research - A (Natural Sciences) 32, no. 1 (February 2018): 19–46. https://doi.org/10.35552/anujr.a.32.1.1541.
استقرار الأنظمة الخطية وشبه الخطية للمعادلات التفاضلية بمعنى هايرز-أولام-راسياس
المؤلفون:
معلومات المقال
2017-04-12
2018-01-24
19 - 46
الكلمات الإفتتاحية
- Differential Equations
- Hyers-Ulam-Rassias Stability
- Semi-linear Systems
الملخص
هدفت هذه الدراسة إلى استكشاف استقرار أنظمة المعادلات التفاضلية الخطية وشبه الخطية بمفهوم هايرز-أولام-راسياس، فقد تم الحصول على الشروط الكافية لاستقرار أنظمة المعادلة التفاضلية الخطية وشبه الخطية بمفهوم هايرز-أولام وبمفهوم هايرز-أولام-راسياس. وللوصول إلى نتائج الدراسة استخدم الباحث البرهان المباشرمن ثم تقدير القيم العظمى لحلول أنظمة المعادلات التفاضلية الخطية وشبه الخطية ذات المعاملات الثابتة تقريباً، بالإضافة إلى ذلك فقد أثبت الباحث استقرار أنظمة المعادلات التفاضلية الخطية وشبه الخطية بمفهوم هايرز-أولام-راسياس عندما تكون المصفوفة المعاملة متغيرة ومتصلة. ولتوضيح نتائج الدراسة النظرية قدم الباحث بعض الأمثلة.
Qarawani, M. (2018). Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. An-Najah University Journal for Research - A (Natural Sciences), 32(1), 19–46. https://doi.org/10.35552/anujr.a.32.1.1541
[1]M. Qarawani, “Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations,” An-Najah University Journal for Research - A (Natural Sciences), vol. 32, no. 1, pp. 19–46, Feb. 2018, doi: 10.35552/anujr.a.32.1.1541.
Qarawani, Maher. “Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations.” An-Najah University Journal for Research - A (Natural Sciences), vol. 32, no. 1, Feb. 2018, pp. 19–46. Crossref, https://doi.org/10.35552/anujr.a.32.1.1541.
1.Qarawani M. Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2018 Feb;32(1):19–46. Available from: http://dx.doi.org/10.35552/anujr.a.32.1.1541
Qarawani, Maher. “Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations.” An-Najah University Journal for Research - A (Natural Sciences) 32, no. 1 (February 2018): 19–46. https://doi.org/10.35552/anujr.a.32.1.1541.
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