An existence result for integro-differential degenerate sweeping process with convex sets

Mohamed Kecies

Makale detayları

An existence result for integro-differential degenerate sweeping process with convex sets

Yazarlar:

Mohamed Kecies

Yayıncı:

Hacettepe University

Ana Başlıklar:

Dynamical Systems in Applications

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.845-868

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001351210

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, we study the well-posedness in the sense of existence and uniqueness of a solution of integrally perturbed degenerate sweeping processes, involving convex sets in Hilbert spaces. The degenerate sweeping process is perturbed by a sum of a single-valued map satisfying a Lipschitz condition and an integral forcing term. The integral perturbation depends on two time-variables, by using a semi-discretization method. Unlike the previous works, the Cauchys criterion of the approximate solutions is obtained without any new Gronwalls like inequality.

 In this paper, we study the well-posedness in the sense of existence and uniqueness of a solution of integrally perturbed degenerate sweeping processes, involving convex sets in Hilbert spaces. The degenerate sweeping process is perturbed by a sum of a single-valued map satisfying a Lipschitz condition and an integral forcing term. The integral perturbation depends on two time-variables, by using a semi-discretization method. Unlike the previous works, the Cauchys criterion of the approximate solutions is obtained without any new Gronwalls like inequality.

 In this paper, we study the well-posedness in the sense of existence and uniqueness of a solution of integrally perturbed degenerate sweeping processes, involving convex sets in Hilbert spaces. The degenerate sweeping process is perturbed by a sum of a single-valued map satisfying a Lipschitz condition and an integral forcing term. The integral perturbation depends on two time-variables, by using a semi-discretization method. Unlike the previous works, the Cauchys criterion of the approximate solutions is obtained without any new Gronwalls like inequality.

 In this paper, we study the well-posedness in the sense of existence and uniqueness of a solution of integrally perturbed degenerate sweeping processes, involving convex sets in Hilbert spaces. The degenerate sweeping process is perturbed by a sum of a single-valued map satisfying a Lipschitz condition and an integral forcing term. The integral perturbation depends on two time-variables, by using a semi-discretization method. Unlike the previous works, the Cauchys criterion of the approximate solutions is obtained without any new Gronwalls like inequality.

Makale detayları

An existence result for integro-differential degenerate sweeping process with convex sets

Yazarlar:

Mohamed Kecies

Yayıncı:

Hacettepe University

Ana Başlıklar:

Dynamical Systems in Applications

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.845-868

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001351210

pISSN:

2651-477X

degenerate sweeping process

perturbation

differential inclusion

set-valued map

normal cone

maximal monotone operator

Volterra integro-differential equation

Sayı

Makale detayları

Yazarlar: Mohamed Kecies

Yayıncı: Hacettepe University

Ana Başlıklar: Dynamical Systems in Applications

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.845-868

Belge Tipi: Makale

Yayın Tarihi: 6/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001351210

pISSN: 2651-477X

Sayı

Yazarlar:

Mohamed Kecies

Yayıncı:

Hacettepe University

Ana Başlıklar:

Dynamical Systems in Applications

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 3, pp.845-868

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001351210

pISSN:

2651-477X