We consider systems of nonautonomous nonlinear differential equations with infinite delay. We introduce Carath´eodory type conditions for the right-hand side in an equation, which permit one, on the one hand, to cover a fairly broad class of systems and, on the other hand, include the right-hand side in a compact function space and construct the so-called limiting equations. In the investigation, we use the construction of admissible spaces with fading memory, which permits one to obtain constructive results for the class of equations under study.

The book proposes the model of the unitary quantum field theory (UQT) where the particle is represented as a wave packet of some unified field. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without changing its form. The envelope of the process is identified with a conventional wave function. The equations of such a field are nonlinear and relativistic invariant. With proper adjustments, they are reduced to Dirac, Schroedinger and Hamilton-Jacobi equations. The numbers of the new experimental effects are predicted both for high and low energies. It is calculated with big precision mass spectrum of the elementary particles and the fine structure constant. Also theoretical mass of the Higgs bozon-131.7 GeV was calculated. UQT explains the existents of the low energy nuclear reactions, of other exceptional phenomena and the possibility to create new sources of energy, for example E-cat Andrea Rossi.

This paper proposes an approach to the differentiated analysis of the temperature characteristics of exposed human dura mater and cerebral cortex within the operational window when intracerebral tumors are being removed. The key features of the method are the following: Taking into account the complex shape of the regions to be analyzed, extensive automation of batch processing of the IR thermal maps, operation with sizable samples (more than forty patients), and the use of rigorous statistical estimates. The central problem of using the technique developed here is how to analyze the data on the dynamics of thermal patterns in response to a cold test.

A new approach to analysis of the synchronization of chaotic oscillations in two (or more) coupled oscillators is described that makes it possible to reveal changes in the structure of attractors and detect the appearance of intermittency. The proposed method is based on a symbolic analysis developed previously in the velocity-curvature space of multidimensional sequences and maps. The method is tested by application to a Lorentz system. The results confirm the informativity of the analyzer and reveal specific features of changes in the structure of an attractor of the three-component test system.