The aim of the project is: 1) Generalization of the theory of regularly varying functions and further development of the theory of pseudo-regular functions; 2) Development of the theory of functions with non-degenerated groups of regular points; 3) Study of asymptotic behavior of solutions of stochastic differential equations; 4) Study of asymptotic behavior of functional parameter estimates for stochastic processes and Volterra systems; 5) Study of distributions of functionals of stochastic processes and fields, particularly of Gaussian ones; 6) Construction of new generalizations of hyper

New principle models and methods of information resources and services integration were developed and methods of their interaction based on the software agent technology and multi-agent systems in distributed heterogeneous information and telecommunications environment.

Experimental research of heat exchange is conducted during condensation of water, chladone of R-141b and mixtures of chladones of R-22 and R-407С in a horizontal pipe with the passive intensifiers of heat exchange – wire rings and wire longitudinal scope at the circular, расслоенном and asymmetric flow of phases. The field of temperatures is measured in the vertical section of the thick-walled test area, passing through circular intensifiers.

Executed development of technical document and made educational- experimental setting from the production of biodiesel fuel. Setting is mounted on the department of refurbishable energy of NTUU “KPI” sources and geared-up for the educational use.

The method of calculation of amount of raw biomaterial which can be got for the production of biosubstitutes of petrol and dizpaliva from oil is offered, which allows first to take into account distributing of areas of growing of sil'gospkul'tur depending on crop rotations and decide a problem “food or fuel”.

There were realized the further development of integrated resource planning theory for solving the hybrid system building tasks, mathematical models and decision making methods. Criteria and main strategic directions of reforms in power engineering, with the consideration of current infrastructure, and integration the distributed generation into existing energy supply systems, were determined.

The purpose of work consists in development and improvement probabilistic for algebra methods of research of cryptographic transformations, analysis of symmetric and asymmetric algorithms of enciphering, methods of avtentifikacii, cryptographic protocols, taking into account the last achievements of kriptologii and application of results for the estimation of firmness and efficiency of modern kriptosistem and cryptographic protocols, improvement of methods of cryptographic priv.

Developed some of methods for solving ill-structed problems for modeling, prediction and classification. All methods use Bayesian networks. Proposed a new five step method for finding the parameters of Bayesian networks with hidden nodes. Method bases on an expectation maximization algorithm. Suggested Pearson's, Chuprov's, Cramer's, Goodman's and mutual information coefficients for finding interconnections between Bayesian network's nodes. For solving the problem of modeling the behavior of complex systems proposed original method for construction and application hybrid Bayesian networks.

Sense of work consists of analysis of modern world trends in progress of the space-time processing theory, development of new methods of radio signals processing with space-time structures, which are factorized with the use of Croneckers` matrices muptiplication theory for the radio electronic facilities’ digital adaptive arrays, and also analysis of possibility of the physical phenomenon of curvature of wave front of electromagnetic wave application for the increase of efficiency of functioning of the telecommunication systems in the conditions of interferences.

The technology of access and management of information and program resources in heterogeneous informative-telecommunication environment is created. It is the basis of intermediate layer software for access and performance of the distributed program systems in networks, which use technologies both cable and wireless access.

The mathematical models of parallel transaction processing of the uniform universal platform for supporting to information interaction of granting service in Internet are developed.

The methodological, mathematical and algorithmical toolkit on providing the control by functioning and monitoring, operative diagnosis, evaluation and prediction of the permissible risk margin of the forecast abnormal, critical, extraordinary, emergency and catastrophic situations’ set in the complex technical systems’ (CTS) functioning dynamics under the conditions of the uncertainties and multifactorial risks is worked out.