Eigenvalues of Almost Periodic Schr 6 dinger Operators in L 2 ( b ) are at most Double WOJCIECH CHOJNACKI

Eigenvalues of Almost Periodic Schr 6 dinger Operators in L 2 ( b ) are at most Double

Almost Periodic Schrijdinger Operators in L * ( bR ) Whose Point Spectrum Is Not All

We exhibit almost periodic potentials such that the corresponding SchrGdinger operators in the space of all square Haar-integrable functions on the Bohr compac-tilication of Iw have a point in the spectrum which is not an eigenvalue.

SOLVING FRACTIONAL NONLINEAR SCHR"{O}DINGER EQUATIONS BY FRACTIONAL COMPLEX TRANSFORM METHOD

In this paper, we apply fractional complex transform to convert the fractional nonlinear Schr"{o}dinger equations to the nonlinear Schr"{o}dinger equations.  

The Asymptotic Form of Eigenvalues for a Class of Sturm-Liouville Problem with One Simple Turning Point

The purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of Sturm-Liouville problem with equation of the form w??=(?2f(x)?R(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in C2(a,b which has a single zero (so called turning point) at point 0x=x and R(x) is a continuously differentiable function. ...

THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION

This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined with the Banachcontraction mapping principle and an analytic semigroup of linear operators.