Extensive exploration of multi-term hybrid functional equation vıa hybrid differential feedback control

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Tarih
2025-10-01Yazar
El-Sayed, Ahmed MohamadAl-Issa, Shorouk Mahmoud
Hashem, Hind Hassan Gaber
Kaddoura, Issam H.
Najdi, Ali A.
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El-Sayed, A. M., Al-Issa, S. M., Hashem, H. H. G., Kaddoura, I. H. & Najdi, A. A. (2025). Extensive exploration of multi-term hybrid functional equation vıa hybrid differential feedback control. TWMS Journal of Applied and Engineering Mathematics, 15(10), 2421-2438.Özet
This paper investigates the existence of solutions for a multidimensional hybrid functional equation with multiple delays, incorporating differential feedback control. The focus is on finding well-defined, continuous, and bounded solutions on the semi-infinite interval. To establish the existence of these solutions, we employ measures of noncompactness associated with a specified modulus of continuity within the space BC(R+). Furthermore, we derive sufficient conditions to ensure the asymptotic stability of the solutions to this integral equation. An illustrative example is provided to demonstrate the applicability of the theoretical results.
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https://jaem.isikun.edu.tr/web/index.php/current/136-vol15no10/1501https://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/7048
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