Weak solutions of a hyperbolic-type partial dynamic equation in Banach spaces

Ahmet YANTİR; Duygu SOYOĞLU

Makale detayları

Weak solutions of a hyperbolic-type partial dynamic equation in Banach spaces

Yazarlar:

Ahmet YANTİR | Duygu SOYOĞLU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 1, pp.153-163

Belge Tipi:

Makale

Yayın Tarihi:

1/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453167

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

In this article, we prove an existence theorem regarding the weak solutions to the hyperbolic-type partial dynamic equation zΓΔ(x,y)=f(x,y,z(x,y))x∈T1,y∈T2zΓΔ(x,y)=f(x,y,z(x,y))x∈T1,y∈T2z^{\Gamma\Delta}(x,y)=f(x,y,z(x,y))\;\; x\in T_{1},\;\; y\in T_{2} z(x,0)=0,z(0,y)=0z(x,0)=0,z(0,y)=0z(x,0)=0,\;\; z(0,y)=0 in Banach spaces. For this purpose, by generalizing the definitions and
results of Cichoń et.al. we develop weak partial derivatives, double
integrability and the mean value results for double integrals on time
scales. DeBlasi measure of weak noncompactness and Kubiaczyk’s fixed
point theorem for the weakly sequentially continuous mappings are the
essential tools to prove the main result.

Makale detayları

Weak solutions of a hyperbolic-type partial dynamic equation in Banach spaces

Yazarlar: Ahmet YANTİR | Duygu SOYOĞLU

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 1, pp.153-163

Belge Tipi: Makale

Yayın Tarihi: 1/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000453167

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Ahmet YANTİR | Duygu SOYOĞLU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 1, pp.153-163

Belge Tipi:

Makale

Yayın Tarihi:

1/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453167

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X