Turkish Journal of Mathematics and Computer Science

Yazarlar: Rauf AMİROV, Selma GÜLYAZ ÖZYURT

Konular:Matematik

DOI:10.47000/tjmcs.911049

Anahtar Kelimeler:Eigenvalue,Eigenfunction,Unseparated boundary conditions

Özet: In this study, firstly, the basic properties of the spectrum of the investigated problem were learned, sine and cosine type solutions were defined, their behaviors were examined and the properties of the solution of the given problem were learned with their help. Next, the characteristic equation of the studied problem was formed with the help of sine and cosine type solutions. Using the characteristic equation, the asymptotic behavior of the eigenvalues of the given problem and the ordering of the eigenvalues of the boundary value problems $L(\alpha _{j}),$ $j=1,$ $2$ when $\alpha_{1} $ $<\alpha _{2}$ are learned.

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