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Register a new userAsymptotic Behavior of Solutions of Non-linear third- Order Differential Equations
السلوك المقارب لحلول معادلات تفاضلية غير خطية من المرتبة الثالثة
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Damascus University ورقة بحثية
Publication date
2011
fields
Mathematics
and research's language is
العربية
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Shamra Editor
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هدف هذا البحث إلى تسليط الضوء على نتائج كلاسيكية و تقديم مبرهنات جديدة مدعمة بالأمثلة التطبيقية المناسبة عن السلوك المقارب في جوار اللانهاية لحلول معادلات تفاضلية غير خطية من المرتبة الثالثة باستخدام المتراجحة التكاملية لبيهاري ، سوف نحصل على الشروط الكافية التي من أجلها تكون الحلول القابلة للاستمرار جميعها لها السلوك المقارب.
We study the asymptotic behavior of solutions of a nonlinear differential equation. Using Bihari's integral inequality, we obtain sufficient conditions for all of continuable solutions to be asymptotic.
References used
Bellman, R. (1953). Stability Theory of Differential Equations, McGraw-Hill, London.166p
Bihari, I. (1956). A generalization of a lemma of Bellman and its applications to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar., v.7,pp.81–94
Cohen, D. S. (1967). The asymptotic behavior of a class of nonlinear differntial equations, Proc.Amer. Math. Soc.v. 18,pp.607–609
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المعادلة التفاضلية الجزئية من المرتبة الثانية
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الجداء التنسوري للتوزبعات
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