Inverse nodal problem for differential pencils

✍ Scribed by S.A. Buterin; Chung Tsun Shieh

• Book ID: 104000660
• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 480 KB
• Volume: 22
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2009.01.037

✦ Synopsis

An inverse nodal problem is studied for the diffusion operator with real-valued coefficients on a finite interval with Dirichlet boundary conditions. The oscillation of the eigenfunctions corresponding to large modulus eigenvalues is established and an asymptotic of the nodal points is obtained. The uniqueness theorem is proved and a constructive procedure for solving the inverse problem is given.