ON 16 DECEMBER 1gg 1, I gave the seventh Sol M. Malkin Lecture in Bibliography on “The Future of Rare Book Libraries” at the School of Library Service (SLS) ,Columbia University.” (In assessing this honor, bear in mind that I am the person principally responsible for selecting Malkin Lecturers.) The Book Arts Press published the first six Malkin Lectures as separate pamphlets, most of them eleg...

By the geometric Satake isomorphism of Mirković and Vilonen, decomposition numbers for reductive groups can be interpreted as decomposition numbers for equivariant perverse sheaves on the complex affine Grassmannian of the Langlands dual group. Using a description of the minimal degenerations of the affine Grassmannian obtained by Malkin, Ostrik and Vybornov, we are able to recover geometricall...

In this paper the stability of zero equilibrium a system with time delay is studied. The critical case multiple root characteristic equation linearized treated by applying Malkin type theorem and using complete Lyapunov-Krasovskii functional. An application to model for malaria under treatment considering action immune presented.

In this paper the new concepts of restricted total stability and total attractivity is formulated. For this purpose the classical theory of Malkin with suitable changes and the theory of limiting equations, introduced by Sell developed by Artstein and Andreev, are used. Significant examples are presented.

The quantum optical problem of the propagation of electromagnetic waves in a nonlinear waveguide is related to the solutions of the classical nonstationary harmonic oscillator using the method of linear integrals of motion [Malkin et.al., Phys Rev.2D (1970) 1371]. An explicit solution of the classical oscillator with a varying frequency, corresponding to the light propagation in an anisotropic ...