KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

Existence results for some neutral functional integrodifferential equations with bounded delay

Sylvain KOUMLA
Radu PRECUP
Abdou SENE
Sayfa
1809–1822
Yayın Tarihi
2022-11-04
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As an application, we consider a diffusion neutral functional integrodifferential equation.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banachspaces.
📊
Temel Bulgular & Veri:We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and inits subspace D(A): The results are based on Banach’s and Schauder’s fixed point theorems and on the technique ofequivalent norms.
💡
Sonuç & Katkı:As an application, we consider a diffusion neutral functional integrodifferential equation.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banachspaces. We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and inits subspace D(A): The results are based on Banach’s and Schauder’s fixed point theorems and on the technique ofequivalent norms. As an application, we consider a diffusion neutral functional integrodifferential equation.

🔖

Bu Makaleye Atıf Yap

KOUMLA, S., PRECUP, R., SENE, A. (2022). Existence results for some neutral functional integrodifferential equations with bounded delay. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1809–1822. https://ajindex.com/articles/607674

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Adimy M, Ezzinbi K. A class of linear partial neutral functional differential equations with nondense domain. Journal of Differential Equations 1998
  2. 147 (2): 285-332. doi: 10.1006/jdeq.1998.3446 [2] Adimy M, Ezzinbi K. Strict solutions of nonlinear hyperbolic neutral functional differential equations. Applied Mathematics Letters 1999
  3. 12 (1): 107-112. doi: 10.1016/S0893-9659(98)00134-7 [3] Alia M, Ezzinbi K, Koumla S. Mild solutions for some partial functional integrodifferential equations with statedependent delay. Discussiones Mathematicae. Differential Inclusions, Control and Optimization 2017
  4. doi: 10.7151/dmdico.1197 [4] Barbu V. Nonlinear Volterra equations in a Hilbert space. SIAM Journal on Mathematical Analysis 1975
  5. 6 (4): 728-741. doi: 10.1137/0506064 [5] Bolojan OM, Precup R. Hybrid delay evolution systems with nonlinear constraints. Dynamic Systems and Applications 2018
  6. 27 (4): 773-790. doi: 10.12732/dsa.v27i4.6 [6] Bunoiu R, Precup R. Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions. Applicable Analysis 2016
  7. 95 (4): 731-747. doi: 10.1080/00036811.2015.1028921 [7] Cardinali T, Precup R, Rubbioni P. A unified existence theory for evolution equations and systems under nonlocal conditions. Journal of Mathematical Analysis and Applications 2015
  8. 432 (2): 1039-1057. doi: 10.1016/j.jmaa.2015.07.019 [8] Coleman BD, Gurtin ME. Equipresence and constitutive equations for rigid heat conductors. Journal of Applied Mathematics and Physics (ZAMP) 1967
  9. 18 (2): 199-208. [9] Hernandez E, Henriquez HR. Existence results for partial neutral functional differential equations with unbouned delay. Journal of Mathematical Analysis and Applications 1998
  10. 221 (2): 452-475. doi: 10.1006/jmaa.1997.5875 [10] Hernandez E, Henriquez HR. Existence of periodic solutions for partial neutral functional differential equations with unbouned delay. Journal of Mathematical Analysis and Applications 1998
  11. 221 (2): 499-522. doi: 10.1006/jmaa.1997.5899 [11] Ezzinbi K, Ghnimi S. Existence and regularity of solutions for neutral partial functional integrodifferential equations. Nonlinear Analysis: Real World Applications 2010
  12. 11 (4): 2335-2344. doi: 10.1016/j.nonrwa.2009.07.007 [12] Ezzinbi K, Toure H, Zabsonre I. Existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces. Nonlinear Analysis 2009
  13. 70 (7): 2761-2771. doi: 10.1016/j.na.2008.04.001 [13] Ezzinbi K, Kouml