This problem is solved for special type of differential inclusions with convex initial set.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, for any point selected outside the integral funnel of differential inclusion existence of at least one solution of differential inclusion passes through this point and completely remain outside the integral funnel is investigated.
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Key Findings & Data:In this study, for any point selected outside the integral funnel of differential inclusion existence of at least one solution of differential inclusion passes through this point and completely remain outside the integral funnel is investigated.
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Conclusion & Impact:This problem is solved for special type of differential inclusions with convex initial set.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study, for any point selected outside the integral funnel of differential inclusion existence of at least one solution of differential inclusion passes through this point and completely remain outside the integral funnel is investigated. This problem is solved for special type of differential inclusions with convex initial set.
Özet
Bu çalışmada başlangıç kümesinin dışından alınan bir x, noktası için diferansiyel içermenin bu noktadan geçen ve her zaman integral tünelin dışında kalan en az bir çözümün varlığı araştırıldı. Bu problem konveks başlangıç kümesine sahip özel tip diferansiyel içermeler için çözüldü.
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Cite This Article
KÜÇÜK, M., İZGİ, S. (2022). A property of integral funnel for differential inclusions. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 3 - Sayı: 3, 395–399. https://ajindex.com/articles/438475
Aubin, J.P. ve Cellina, A. (1984) Differential Inclusions. Springer-Verlag, Grunderlehen der math. Wiss. Aumann, R.J. (1965) Integrals of set-valued functions. J. Math. An. AppL, 12, 1-12.
Clarke, F.H., Ledyaev, Yu.S., Stern, R.J. ve Wolenski, P.R. (1998) Nonsmooth Anlysis and Control Theory. Springer-Verlag, New York. Deimling, K. (1992) Multivalued Differential Equations. Walter de Gruyter, Berlin, New York. İzgi, S. (2001) Diferansiyel içermelerin Çözümlerinin Varlığı ve Özellikleri. Yüksek Lisans Tezi, Anadolu Üniversitesi.