Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2002 / Cilt: 3 - Sayı: 3

A property of integral funnel for differential inclusions

Diferansiyel içermelerin integral tüneline ait bir özellik

Pages
395–399
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This problem is solved for special type of differential inclusions with convex initial set.

📌 3 Key Takeaways

🎯
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

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References (2)

  1. 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.
  2. 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.