Asymptotic behavior of the fundamental solutions of an anti-periodic boundary value problem

In this thesis, asymptotic behavior of fundamental solutions of the anti-periodic boundary-value-transition problem was investigated. In this study which consists of five chapters, In the first part, short information about the actuality and application areas of the researched subject is given. In the second chapter, studies in the literature on Sturm-Liouville theory are mentioned. In the third chapter, the basic definitions and theorems to be used in this thesis work are given. In the fourth chapter, the Sturm-Liouville problem is expressed with the anti-periodic boundary conditions and transition conditions, the Hilbert space corresponding to the problem is established. Basic solution functions were defined for the problem addressed by examining some auxiliary initial value problems and the asymptotic behavior of these basic solutions according to the eigenvalue parameter was examined. In the fifth and last part, the results obtained from this study are mentioned.