PERIODIC SOLUTIONS FOR THIRD ORDER DELAY DIFFERENTIAL EQUATION IMPULSES WITH FREDHOLM OPERATOR OF INDEX ZERO

S. BALAMURALITHARAN

Makale detayları

PERIODIC SOLUTIONS FOR THIRD ORDER DELAY DIFFERENTIAL EQUATION IMPULSES WITH FREDHOLM OPERATOR OF INDEX ZERO

Yazarlar:

S. BALAMURALITHARAN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2016 Vol.4 Issue 2, pp.158-168

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000536468

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


In this paper the periodic solutions for third order delay differential equation of the form \begin{center} $x'''(t)+f(t,x''(t))+g(t,x'(t))+h(x(t-\tau(t))=p(t),t\geq0,t\neq t_k,$ \end{center}\begin{center} $x'''(t)+f(t,x''(t))+g(t,x'(t))+h(x(t-\tau(t))=p(t),t\geq0,t\neq t_k,$ \end{center}\begin{center} $x'''(t)+f(t,x''(t))+g(t,x'(t))+h(x(t-\tau(t))=p(t),t\geq0,t\neq t_k,$ \end{center} is investigated. We derive a third order delay differential equation with Fredholm operator of index zero and periodic solution. We obtain the existence of periodic solution and Mawhin's continuation theorem. The delay conditions for the Schwarz inequality of the periodic solutions are also obtained. An example is also furnished which demonstrates validity of main result. Some new positive periodic criteria are given. Therefore it has at least one 2π2π2\pi-periodic solution.

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Makale detayları

PERIODIC SOLUTIONS FOR THIRD ORDER DELAY DIFFERENTIAL EQUATION IMPULSES WITH FREDHOLM OPERATOR OF INDEX ZERO

Yazarlar: S. BALAMURALITHARAN

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Uygulamalı fizik

Dergi: Konuralp Journal of Mathematics 2016 Vol.4 Issue 2, pp.158-168

Belge Tipi: Makale

Yayın Tarihi: 9/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000536468

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

S. BALAMURALITHARAN

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2016 Vol.4 Issue 2, pp.158-168

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000536468

Sıklık:

İki Yıllık

eISSN:

2147-625X