P-Laplacian Dirac system on time scales. Issue 1 (11th December 2019)

• Record Type: Journal Article
• Authors: Gulsen, Tuba; Yilmaz, Emrah; Kayali, Meltem
• Is Part Of: Journal of Taibah University for science. Volume 13:Issue 1(2019)
• Page Start: 71
• Page End: 78
• Publication Date: 2019-12-11
• Subjects: Dirac system -- Laplacian operator -- time scales; 35Q41 -- 35J05 -- 34N05; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2018.1530719
• Languages: English
• ISSNs: 1658-3655

Abstract

ABSTRACT: The -Laplacian type Dirac systems are nonlinear generalizations of the classical Dirac systems. They can be observed as a bridge between nonlinear systems and linear systems. The purpose of this study is to consider -Laplacian Dirac boundary value problem on an arbitrary time scale to get forceful results by examining some spectral properties of this problem on time scales. Interesting enough, the -Laplacian type Dirac boundary value problem exhibits the classical Dirac problem on time scales. Moreover, we prove Picone's identity for -Laplacian type Dirac system which is an important tool to prove oscillation criteria on time scales. It generalizes a classical and well-known theorem for to general case