الوجود والوحدانية لحلول معادلة تفاضلية غير خطية ذات شرط غير محلي أحادي المعلمة: دراسة عددية باستخدام MATLAB
DOI:
https://doi.org/10.65419/albahit.v5i2.142الكلمات المفتاحية:
المعادلة التفاضلية غير الخطية، الشرط غير المحلي، وجود و وحدانية الحل، ماتلابالملخص
يركز هذا البحث بشكل أساسي على دراسة معادلة تفاضلية غير خطية ذات شرط غير محلي ذي باراميتر واحد. يقدم تحليلنا براهين دقيقة لوجود الحلول و وحدانيتها. علاوة على ذلك، ندرس استقرار الحل من خلال فحص اعتماده المتصل على الشرط الإبتدائي و الباراميتر. نقدم مثالًا عدديًا باستخدام أدوات MATLAB للتحقق من صحة النتائج النظرية ولتوضيح العلاقة بين الحل الوحيد والشرط الإبتدائي والباراميتر.
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