Mikhail Z. Zgurovsky Valery S. Melnik M. Z. Zgurovskii
Modern achievements in the intensively developing field of applied mathematics as applied to physical chemistry are presented in this monograph. In particular, the monograph proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations are stated in nonlinear-map terms. The solvability...
Modern achievements in the intensively developing field of applied mathematics as applied to physical chemistry are presented in this monograph. In pa...
Mikhail Z. Zgurovsky N. D. Pankratova M. Z. Zgurovsky
This book offers the foundations of system analysis as an applied scientific methodology assigned for the investigation of complex and highly interdisciplinary problems. It presents the basic definitions and the methodological and theoretical basis of formalization and solution processes in various subject domains. It describes in detail the methods of formalizing the system tasks and reducing them to a solvable form under real-world conditions.
This book offers the foundations of system analysis as an applied scientific methodology assigned for the investigation of complex and highly inter...
The first of two volumes dealing with mathematical methods for earth data processing, this volume describes the generalization of various approaches to analyzing nonlinear models. Readers will find a toolbox for problems in geophysics and earth sciences.
The first of two volumes dealing with mathematical methods for earth data processing, this volume describes the generalization of various approache...
Providing a toolbox for mathematical equations, this volume presents various approaches to the analysis of nonlinear models. Topics include phase changes, diffusion of electromagnetic, acoustic and seismoacoustic waves, as well as quantum mechanical effects.
Providing a toolbox for mathematical equations, this volume presents various approaches to the analysis of nonlinear models. Topics include phase chan...
This book offers the foundations of system analysis as an applied scientific methodology assigned for the investigation of complex and highly interdisciplinary problems. It presents the basic definitions and the methodological and theoretical basis of formalization and solution processes in various subject domains. It describes in detail the methods of formalizing the system tasks and reducing them to a solvable form under real-world conditions.
This book offers the foundations of system analysis as an applied scientific methodology assigned for the investigation of complex and highly inter...
This vital mathematical toolkit for solving problems in geophysics and earth sciences is the third in the series and focuses on the long-term behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems.
This vital mathematical toolkit for solving problems in geophysics and earth sciences is the third in the series and focuses on the long-term behavior...
Providing a toolbox for mathematical equations, this volume presents various approaches to the analysis of nonlinear models. Topics include phase changes, diffusion of electromagnetic, acoustic and seismoacoustic waves, as well as quantum mechanical effects.
Providing a toolbox for mathematical equations, this volume presents various approaches to the analysis of nonlinear models. Topics include phase chan...
Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem...
Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new appro...
In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.
In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal soluti...
As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other.
Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and...
As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algeb...
