Abstract:
A fourth order differential operator with summable coefficients and some boundary conditions is considered. Asymptotics of solutions to a fourth order differential equation is studied. The equation for eigenvalues is also studied and an asymptotics of the eigenvalues of the considered boundary value problem is obtained.
Key words:differential operator, summable coefficients, asymptotics of solutions, asymptotics of eigenvalues, method of successive iterations.
Fulltext:
PDF file (215 kB)