TY - JOUR
AU - Yilmaz, Emrah
AU - Gulsen, Tuba
AU - Koyunbakan, Hikmet
PY - 2022/09/30
Y2 - 2024/02/23
TI - Inverse Nodal Problem for p-Laplacian String Equation with Prüfer Substitution
JF - Proceedings of the Bulgarian Academy of Sciences
JA - C. R. Acad. Bulg. Sci.
VL - 75
IS - 9
SE - Mathematics
DO - 10.7546/CRABS.2022.09.02
UR - https://proceedings.bas.bg/index.php/cr/article/view/150
SP - 1262-1270
AB - <p>We consider an inverse nodal problem for <em>p</em>-Laplacian string equation under some boundary conditions. Asymptotic formulas for eigenvalues and nodal parameters are constructed by modified Pr¨ufer substitution. The most important process is to apply modified Pr¨ufer substitution to get an exhaustive asymptotic estimate for eigenvalues. Moreover, a reconstruction formula for density function of <em>p</em>-aplacian string equation is obtained by nodal parameters. Generated outcomes are the generalization of the known string problem.</p>
ER -