SPECTRUM OF A PERTURBED BIHARMONIC OPERATOR ON A LATTICE
Keywords:
Discrete biharmonic operator, discrete Schrodinger operator, essential spectrumAbstract
This article considers that for a discrete biharmonic operator with a compact perturbation on a three-dimensional lattice, there are lower and upper threshold constants. In addition, convergent asymptotic expansions of the eigenvalue of this
operator in the vicinity of the left and right edges of the essential spectrum, and threshold resonances and threshold eigenvalues for a three-dimensional lattice are also studied.
Published
2024-08-12
How to Cite
Pardabaev Mardon. (2024). SPECTRUM OF A PERTURBED BIHARMONIC OPERATOR ON A LATTICE. FAN VA TA’LIM INTEGRATSIYASI (INTEGRATION OF SCIENCE AND EDUCATION), 2(2), 140–146. Retrieved from http://journal.uzfi.uz/index.php/ISE/article/view/138
Issue
Section
Amaldagi son
