Small Potential Corrections for the Discrete Eigenvalues of the Sturm-Liouville Problem.
Solving an inverse Sturm-Liouville problem by a Lie-group method.
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method
We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.
Some converse theorems in the asymptotic theory of ordinary differential equations
Some new results in 1D inverse scattering
Spectral analysis for differential operators with singularities.
Spectral asymptotics for inverse nonlinear Sturm-Liouville problems.
Switched modified function projective synchronization between two complex nonlinear hyperchaotic systems based on adaptive control and parameter identification
This paper investigates adaptive switched modified function projective synchronization between two complex nonlinear hyperchaotic systems with unknown parameters. Based on adaptive control and parameter identification, corresponding adaptive controllers with appropriate parameter update laws are constructed to achieve switched modified function projective synchronization between two different complex nonlinear hyperchaotic systems and to estimate the unknown system parameters. A numerical simulation...
Symmetries of the nonlinear Schrödinger equation
Symmetries of the defocusing nonlinear Schrödinger equation are expressed in action-angle coordinates and characterized in terms of the periodic and Dirichlet spectrum of the associated Zakharov-Shabat system. Application: proof of the conjecture that the periodic spectrum of a Zakharov-Shabat operator is symmetric,i.e. for all , if and only if the sequence of gap lengths, , is symmetric with respect to .