TY  - JOUR
T1  - On a Fourth Order Boundary Value Problem with Periodic and Transmission Conditions
AU  - Cabri, Olgun
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.21597/jist.1559321
JF  - Journal of the Institute of Science and Technology
JO  - J. Inst. Sci. and Tech.
PB  - Iğdır Üniversitesi
WT  - DergiPark
SN  - 2536-4618
SP  - 700
EP  - 705
VL  - 15
IS  - 2
LA  - en
AB  - This study investigates the asymptotic expressions of eigenvalues and eigenfunctions for a fourth-order boundary value problem subject to periodic boundary conditions. It is also examined in the problem with transmission boundary conditions at zero. At t=0, one of the transmission boundary conditions have jump discontinuity. Firstly, asymptotic formulas of fundamental solutions are found. The asymptotic formulas of the eigenvalues are computed by the aid of Rouche method. Finally corresponding eigenfunctions to these eigenvalues are presented.
KW  - periodic boundary conditions
KW  - Fourth order problem
KW  - trasmission conditions
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UR  - https://doi.org/10.21597/jist.1559321
L1  - https://dergipark.org.tr/tr/download/article-file/4254984
ER  -