Mixed-Type Functional Differential Equations: A C0C0C_{0}-Semigroup Approach

Luis Gerardo MÁRMOL; Carmen Judith VANEGAS

doi:https://doi.org/10.33434/cams.446386

Makale detayları

Mixed-Type Functional Differential Equations: A C0C0C_{0}-Semigroup Approach

Yazarlar:

Luis Gerardo MÁRMOL | Carmen Judith VANEGAS

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Communications in Advanced Mathematical Sciences 2018 Vol.1 Issue 2, pp.113-125

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000911741

Sıklık:

Üç Aylık

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.446386

Özet:

 


In this paper we study certain systems of mixed-type functional differential equations, from the point of view of the C0C0C_{0}-semigroup theory. In general, this type of equations are not well-posed as initial value problems. But there are also cases where a unique differentiable solution exists. For these cases and in order to achieve our goal, we first rewrite the system as a classical Cauchy problem in a suitable Banach space. Second, we introduce the associated semigroup and its infinitesimal generator and prove important properties of these operators. As an application, we use the results to characterize the null controllability for those systems, where the control uuu is constrained to lie in a non-empty compact convex subset \Om\Om\Om{} of \Rn\Rn\R^n.

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Makale detayları

Mixed-Type Functional Differential Equations: A C0C0C_{0}-Semigroup Approach

Yazarlar: Luis Gerardo MÁRMOL | Carmen Judith VANEGAS

Yayıncı: Emrah Evren KARA

Ana Başlıklar: Matematik

Dergi: Communications in Advanced Mathematical Sciences 2018 Vol.1 Issue 2, pp.113-125

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000911741

Sıklık: Üç Aylık

pISSN: 2651-4001

DOI: https://doi.org/10.33434/cams.446386

Sayı

Yazarlar:

Luis Gerardo MÁRMOL | Carmen Judith VANEGAS

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Communications in Advanced Mathematical Sciences 2018 Vol.1 Issue 2, pp.113-125

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000911741

Sıklık:

Üç Aylık

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.446386