Solvability of Second Order Delta-Nabla p-Laplacian m-point Eigenvalue Problem on Time Scales

S. N. RAO

Makale detayları

Solvability of Second Order Delta-Nabla p-Laplacian m-point Eigenvalue Problem on Time Scales

Yazarlar:

S. N. RAO

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2015 Vol.5 Issue 1, pp.98-109

Belge Tipi:

Makale

Yayın Tarihi:

5/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000746244

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In this paper, we are concerned with the following eigenvalue problem of  m-point boundary value problem for p-Laplacian dynamic equation on time scales,     ϕp u  ∆ t   ∇  + λh t f     u t      = 0, t ∈ [a, b]T  ,  u a  − u  ∆ a  =  m∑−2  i=1  u  ∆ ξi , u  ∆ b  = 0, m ≥ 3,  where ϕp u  = |u|  p−2u, p > 1 and λ > 0 is a real parameter. Under certain assumptions,  some new results on existence of one or two positive solutions and nonexistence are  obtained for λ evaluated in different intervals by using Guo-Krasnosel’skii fixed point  theorem.

Makale detayları

Solvability of Second Order Delta-Nabla p-Laplacian m-point Eigenvalue Problem on Time Scales

Yazarlar: S. N. RAO

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2015 Vol.5 Issue 1, pp.98-109

Belge Tipi: Makale

Yayın Tarihi: 5/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000746244

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

S. N. RAO

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2015 Vol.5 Issue 1, pp.98-109

Belge Tipi:

Makale

Yayın Tarihi:

5/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000746244

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147