Multiple  positive solutions of nonlinear mmm-point dynamic equations for ppp-Laplacian  on time scales

Abdülkadir DOĞAN

Makale detayları

Multiple positive solutions of nonlinear mmm-point dynamic equations for ppp-Laplacian on time scales

Yazarlar:

Abdülkadir DOĞAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 5, pp.941-959

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746121

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper, we study the existence of  positive solutions of a nonlinear mm m -point  ppp-Laplacian  dynamic equation   $$(\phi_p(x^\Delta(t)))^\nabla+w(t)f(t,x(t),x^\Delta(t))=0,\hspace{2cm} t_1< t 1.Sufficientconditionsfortheexistenceofatleastthreepositivesolutionsoftheproblemareobtainedbyusingafixedpointtheorem.TheinterestingpointisthenonlineartermSufficientconditionsfortheexistenceofatleastthreepositivesolutionsoftheproblemareobtainedbyusingafixedpointtheorem.Theinterestingpointisthenonlinearterm  Sufficient conditions for the existence of at least three positive solutions of the problem are obtained  by using a fixed point theorem. The interesting point is  the nonlinear term f$ is involved with  the first order derivative explicitly. As an application, an example is given to illustrate the result.

Makale detayları

Multiple positive solutions of nonlinear mmm-point dynamic equations for ppp-Laplacian on time scales

Yazarlar: Abdülkadir DOĞAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 5, pp.941-959

Belge Tipi: Makale

Yayın Tarihi: 9/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746121

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Abdülkadir DOĞAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 5, pp.941-959

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746121

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098