Araştırma Makalesi

Nonlinear Integrodifferential Equations with Time Varying Delay

Cilt: 5 Sayı: 3 30 Eylül 2021
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Nonlinear Integrodifferential Equations with Time Varying Delay

Öz

By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea. By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodifferential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea.

Anahtar Kelimeler

Kaynakça

  1. Hamdy M. Ahmed, Boundary controllability of impulsive nonlinear fractional delay integro-differential system, Cogent Engineering 3:1, DOI: 10.1080/23311916.2016.1215766.
  2. H. Akca, V. Covachev and Z. Covacheva, Existence theorem for a second-order impulsive functional-differential equation with a nonlocal condition, J. Nonlinear Convex Anal. 17 (2016), no. 6, 1129–1136.
  3. K. Balachandran and E.R. Anandhi, Boundary controllability of delay integrodifferential systems in Banach spaces, J. Korean Soc. Ind. Appl. Math. 4 (2000), no. 2, 67–75.
  4. K. Balachandran and M. Chandrasekaran, Existence of solutions of delay differential equation with nonlocal condition, Indian J. Pure Appl. Math. 27 (1996), no. 5, 443– 449.
  5. K. Balachandran and R.R. Kumar, Existence of solutions of integrodifferential evolution equations with time varying delays, Appl. Math. E-Notes 7 (2007), 1–8.
  6. L. Byszewski, Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162 (1991), no. 1, 496–505.
  7. X. Fu and X. Liu, Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions, Indian J. Pure Appl. Math. 37 (2006), no. 3, 179–192.
  8. K. Kumar and R. Kumar, Controllability results for general integrodifferential evolution equations in Banach space, Differ. Uravn. Protsessy Upr. 2015 (2015), no. 3, 1–15.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Eylül 2021

Gönderilme Tarihi

22 Ekim 2020

Kabul Tarihi

4 Haziran 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Kumar, K., Karnatak, M., & Kumar, R. (2021). Nonlinear Integrodifferential Equations with Time Varying Delay. Advances in the Theory of Nonlinear Analysis and its Application, 5(3), 433-444. https://doi.org/10.31197/atnaa.814109
AMA
1.Kumar K, Karnatak M, Kumar R. Nonlinear Integrodifferential Equations with Time Varying Delay. ATNAA. 2021;5(3):433-444. doi:10.31197/atnaa.814109
Chicago
Kumar, Kamalendra, Manoj Karnatak, ve Rakesh Kumar. 2021. “Nonlinear Integrodifferential Equations with Time Varying Delay”. Advances in the Theory of Nonlinear Analysis and its Application 5 (3): 433-44. https://doi.org/10.31197/atnaa.814109.
EndNote
Kumar K, Karnatak M, Kumar R (01 Eylül 2021) Nonlinear Integrodifferential Equations with Time Varying Delay. Advances in the Theory of Nonlinear Analysis and its Application 5 3 433–444.
IEEE
[1]K. Kumar, M. Karnatak, ve R. Kumar, “Nonlinear Integrodifferential Equations with Time Varying Delay”, ATNAA, c. 5, sy 3, ss. 433–444, Eyl. 2021, doi: 10.31197/atnaa.814109.
ISNAD
Kumar, Kamalendra - Karnatak, Manoj - Kumar, Rakesh. “Nonlinear Integrodifferential Equations with Time Varying Delay”. Advances in the Theory of Nonlinear Analysis and its Application 5/3 (01 Eylül 2021): 433-444. https://doi.org/10.31197/atnaa.814109.
JAMA
1.Kumar K, Karnatak M, Kumar R. Nonlinear Integrodifferential Equations with Time Varying Delay. ATNAA. 2021;5:433–444.
MLA
Kumar, Kamalendra, vd. “Nonlinear Integrodifferential Equations with Time Varying Delay”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 3, Eylül 2021, ss. 433-44, doi:10.31197/atnaa.814109.
Vancouver
1.Kamalendra Kumar, Manoj Karnatak, Rakesh Kumar. Nonlinear Integrodifferential Equations with Time Varying Delay. ATNAA. 01 Eylül 2021;5(3):433-44. doi:10.31197/atnaa.814109