Author:
Allahverdiev Bilender P.,Tuna Huseyin,Isayev Hamlet A
Abstract
This article concerns a regular $q$-Dirac system under impulsive conditions. We study the existence of solutions, symmetry of the corresponding operator, eigenvalues and eigenfunctions of the system. Also we obtain Green's function and its basic properties.
For more informatin see https://ejde.math.txstate.edu/Volumes/2023/74/abstr.html
Reference19 articles.
1. B. P. Allahverdiev, H. Tuna; One dimensional q-Dirac equation, Math. Meth. Appl. Sci., 40 (2017), 7287-7306.
2. M. H. Annaby, Z. S. Mansour; Basic Sturm-Liouville problems, J. Phys. A: Math. Gen., 38 (17) (2005), 3775-3797.
3. M. H. Annaby, Z. S. Mansour; q-Fractional calculus and equations, Lecture Notes in Mathe- matics, vol. 2056, Springer, Berlin, 2012.
4. K. Aydemir, H. Ol ̆gar, O. Sh. Mukhtarov; The principal eigenvalue and the principal eigen- function of a boundary-value-transmission problem, Turkish J. Math. Comput. Sci., 11 (2) (2019), 97-100.
5. K. Aydemir, H. Olgar, O. Sh. Mukhtarov, F. Muhtarov; Differential operator equations with interface conditions in modified direct sum spaces, Filomat, 32 (3) (2018), 921-931.