A CLASS OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL CONDITION AT RESONANCE

Bouteraa NOUREDDİNE

doi:https://doi.org/10.47087/mjm.549174

Makale detayları

A CLASS OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL CONDITION AT RESONANCE

Yazarlar:

Bouteraa NOUREDDİNE

Yayıncı:

Hüseyin ÇAKALLI

Ana Başlıklar:

Matematik

Dergi:

Maltepe Journal of Mathematics 2020 Vol.2 Issue 2, pp.43-54

Belge Tipi:

Makale

Yayın Tarihi:

11/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000526659

Sıklık:

İki Yıllık

pISSN:

2667-7660

DOI:

https://doi.org/10.47087/mjm.549174

Özet:

 


In this paper, we consider third-order boundary value problem
with, Dirichlet, Neumann and integral conditions at resonance case, where the
kernel’s dimension of the ordinary differential operator is equal to one and the
ordinary differential equation which can be written as the abstract equation
Lu = Nu, called semilinear form, where L is a linear Fredholm operator of
index zero, and N is a nonlinear operator. First, we prove a priori estimates,
and then we use Mawhin’s coincidence degree theory to deduce the existence
of solutions. One important ingredient to be able to apply this abstract results
(Mawhin’s coincidence degree theory) is proving the Fredholm property of the
operator L. An example is also presented to illustrate the effectiveness of the
main results


with integral condition at
resonance case


The existence of solution is
etablished via Mawhin's coincidence degree theory. The results are illustrated with an example.

.

Makale detayları

A CLASS OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL CONDITION AT RESONANCE

Yazarlar: Bouteraa NOUREDDİNE

Yayıncı: Hüseyin ÇAKALLI

Ana Başlıklar: Matematik

Dergi: Maltepe Journal of Mathematics 2020 Vol.2 Issue 2, pp.43-54

Belge Tipi: Makale

Yayın Tarihi: 11/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000526659

Sıklık: İki Yıllık

pISSN: 2667-7660

DOI: https://doi.org/10.47087/mjm.549174

Sayı

Yazarlar:

Bouteraa NOUREDDİNE

Yayıncı:

Hüseyin ÇAKALLI

Ana Başlıklar:

Matematik

Dergi:

Maltepe Journal of Mathematics 2020 Vol.2 Issue 2, pp.43-54

Belge Tipi:

Makale

Yayın Tarihi:

11/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000526659

Sıklık:

İki Yıllık

pISSN:

2667-7660

DOI:

https://doi.org/10.47087/mjm.549174