An Application to the Existence of Solutions of the Integral Equations

Merve TEMİZER ERSOY

doi:https://doi.org/10.47000/tjmcs.875446

Makale detayları

An Application to the Existence of Solutions of the Integral Equations

Yazarlar:

Merve TEMİZER ERSOY

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2021 Vol.13 Issue 1, pp.115-121

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000638421

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.875446

Özet:

 

Integral equations provide mathematical models of many important problems in the physical sciences and engineering. This paper treats one class of such equations, concentrating on methods involving the use of classical fixed point theorem. The study of integral equations in connection with nonlinear equations has a long history, during which a variety of approaches has emerged. Here, we effectively use a strategy that derives key properties of the solvability of integral equations from previously established results in Hölder spaces. Moreover, our approach leads to solvability of the Fredholm integral equations.

Makale detayları

An Application to the Existence of Solutions of the Integral Equations

Yazarlar: Merve TEMİZER ERSOY

Yayıncı: Matematikçiler Derneği

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics and Computer Science 2021 Vol.13 Issue 1, pp.115-121

Belge Tipi: Makale

Yayın Tarihi: 6/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000638421

Sıklık: İki Yıllık

eISSN: 2148-1830

DOI: https://doi.org/10.47000/tjmcs.875446

Sayı

Yazarlar:

Merve TEMİZER ERSOY

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2021 Vol.13 Issue 1, pp.115-121

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000638421

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.875446