Inverse nodal problem and Ambarzumyan problem for the p-Laplacian
نویسندگان
چکیده
We study the issues of reconstruction and stability issues of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved. AMS Subject Classification (2000) : 34A55, 34B24. 1 2 1†Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan 804, R.O.C., and National Center for Theoretical Sciences, Taiwan. Email: [email protected], [email protected] 2‡Department of Information Management, National Kaohsiung Marine Univeristy, Kaohsiung, Taiwan, R.O.C. Email: [email protected] 1
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