P-Laplacian Dirac system on time scales

• Published in: Journal of Taibah University for Science Vol. 13; no. 1; pp. 71 - 78
• Main Authors: Gulsen, Tuba, Yilmaz, Emrah, Kayali, Meltem
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 11-12-2019; Taylor & Francis Group
• Subjects: Dirac system; Laplacian operator; time scales
• ISSN: 1658-3655; 1658-3655
• DOI: 10.1080/16583655.2018.1530719

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