Q-operator and sturm liouville problem
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Abstract (EN)
This thesis consists of three chapters. In the first chapter, a general history related to q-difference operators is given. In the second chapter, properties of q-difference operator, q-functions and q-functions spaces are analyzed. Basic deffinitions and theorems related to the subject are given. In the third chapter, q-Sturm-Liouville Problem in L 2 Square (0,a) Hilbert space is given. General spectral properties related to this problem are analyzed. Also, properties of G(x,t,landa) Green functions are given and basic de…nitions and theorems related to this subject is given with proofs in detailed. Finally, expansion formulas of eigenfunctions of this problem are investigated.
Author
Sariye Aşut
Institution
How to Cite
Sariye Aşut (Master Thesis). Q-operator and sturm liouville problem, 2017, Fırat University.
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