The Asymptotic Trace Of Jaulent-miodek Eigenvalue Problem With Unlocal Boundary Conditions

In this thesis,we construct an entire functionω(λ) by use of the asymptotic estimations of solution of initial value prolem for Jaulent-Miodek equation. The zeros ofω(λ) are the eigenvalues of Jaulent-Miodek eigenvalue problem with unlocal boundary eonditions. By resorting to the integral identityUsing the residue method,we estimate the Jaulent-Miodek operator eigenvalue and obtain the eigenvalue asymptotic trace identities of two probiems.