Voronezh State University

About: Voronezh State University is a education organization based out in Voronezh, Russia. It is known for research contribution in the topics: Silicon & Boundary value problem. The organization has 5166 authors who have published 6097 publications receiving 31680 citations. The organization is also known as: VSU & Voronezh University.

Strictly singular and power-compact operators on Banach lattices

Abstract: Compactness of the iterates of strictly singular operators on Banach lattices is analyzed. We provide suitable conditions on the behavior of disjoint sequences in a Banach lattice, for strictly singular operators to be Dunford-Pettis, compact or have compact square. Special emphasis is given to the class of rearrangement invariant function spaces (in particular, Orlicz and Lorentz spaces). Moreover, examples of rearrangement invariant function spaces of fixed arbitrary indices with strictly singular non power-compact operators are also presented.

Analysis of the Economic Optimism of the Institutional Groups and Socio-Economic Systems

Abstract: The article aims at formulating general concept to assess the level of economic optimism of various institutional groups with a view to plan perspective development directions of socio-economic systems. The article analyzes the viewpoints of various institutional groups in a specific region of the Russian Federation (the Voronezh Region). Expert’s estimates served the basis to formulate development opportunities in the region (auspicious events). Respondents of big business, small business, regional authorities, local authorities, public organizations, and employees of budgetary organizations were experts in this survey. The outcomes of the study had two different aspects. First, we calculated economic optimism indices for each event auspicious for the region and each institutional group. Second, we tested methodological approach to assessment of event-based and institutional optimism that was applicable to any socio-economic systems.

Existence of periodic solutions for an autonomous damped wave equation in a thin domain

Abstract: For a nonlinear autonomous damped wave equation in a thin domain we provide conditions ensuring the existence of periodic solutions in time. Our approach uses both methods developed by Hale and Raugel and methods based on the topological degree theory together with some results on the functionalization of parameter.