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Mathematical Analysis With Applications In Honor of the 90th Birthday of Constantin Corduneanu, Ekaterinburg, Russia, July 2018
Title
Mathematical Analysis With Applications [electronic resource] : In Honor of the 90th Birthday of Constantin Corduneanu, Ekaterinburg, Russia, July 2018 / edited by Sandra Pinelas, Arkadii Kim, Victor Vlasov.
ISBN
9783030421762
Edition
1st ed. 2020.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2020.
Physical Description
1 online resource (XLII, 422 p.) 167 illus., 141 illus. in color.
Local Notes
Access is available to the Yale community.
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Access restricted by licensing agreement.
Summary
This proceedings volume covers research in key areas of applied mathematical analysis, and gathers works presented at the international conference “Concord-90,” in honor of the 90th birthday of Professor Constantin Corduneanu (1928-2018). The event – which Professor Corduneanu was able to attend – was held at Ural Federal University in Ekaterinburg, Russia, on July 26-28, 2018. Professor Corduneanu’s research in mathematical analysis spanned nearly seven decades and explored a range of important issues in the field, including studies of global existence, stability problems, and oscillation theory, with special emphasis on various classes of nonlinear equations. He published over two hundred articles and several books, including “Almost Periodic Oscillations and Waves” (Springer, 2009). In this volume the reader will find selected, peer-reviewed articles from seven fields of research – Differential Equations, Optimal Control and Stabilization; Stochastic Methods; Topology and Functions Approximation; Mathematical Biology and Bioinformatics; Mathematical Modeling in Mining; Mathematical Modeling in Economics; and Computer Science and Image Processing – which honor and reflect Professor Corduneanu’s legacy in the fields of oscillation, stability and control theory.
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Format
Books / Online
Language
English
Added to Catalog
June 04, 2020
Series
Springer Proceedings in Mathematics & Statistics, 318
Contents
Part I: Differential Equations, Optimal Control and Stabilization
Burlakov, E. O. and Zhukovskiy, E. S: On Abstract Volterra Equations in Partially Ordered Spaces and Their Applications
Burlakov, E. O. and Pluzhnikova, E. A: On Implicit Abstract Volterra Equations in Metric Spaces
Vdovin, A. Yu. and Rubleva, S. S: On the Choice of Parameters of the Method of Dynamic Regularization for the Problem of Differentiation
Gorbova, T. V., Pimenov, V. G., and Solodushkin, S. I: Numerical Algorithm for Nonlinear Partial Differential Equation with Heredity and its Program Implementation
Zhukovskiy, S. E.: On Coincidence Points of Mappings between Partially Ordered Sets
Zykov, I. V.: An Algorithm for Constructing Reachable Sets for Systems with Multiple Integral Constraints
Kim, A. V., Andryushechkina, N. A., and Kim, V. V: Similarity and Structural Stability with respect to Delay of FDE Phase Portraits
Kim, A. V. and Andryushechkina, N. A: Real-Time Modeling of System State During the Process of More Precise Estimation of the Initial Position.-Kim, A. V. and Andryushechkina, N. A: Finite Difference Scheme for Special System of Partial Differential Equations
Layton, W. and McLaughlin, M: On URANS Congruity with Time Averaging: Analytical Laws Suggest Improved Models
Lebedev, P. D. and Uspenskii, A. A: Geometric Singularities of the Solution of the Dirichlet Boundary Problem for Hamilton–Jacobi Equation with a Low Order of Smoothness of the Border Curve
Pavlova, N. G.: Applications of the Theory of Covering Maps to the Study of Dynamic Models of Economic Processes with Continuous Time
Cherepennikov, V. B. and Kim, A. V: Smooth Solutions of Linear Functional Differential Equations of Neutral Type
Chernikova, N. Yu., Laneev, E. B., Muratov, M. N., and Ponomarenko, E. Yu: On an Inverse Problem to a Mixed Problem for the Poisson Equation
Shevchenko, R. I.: Stabilization of the Two Degree of Freedom Linear Milling Model
Part II: Stochastic Methods
Bashkirtseva, I. A. and Belyaeva, T. D: Stochastic Sensitivity Analysis and Control in the Bistable Electronic Generator
Bashkirtseva, I. A. and Zaitseva, S. S: Noise-induced Effects in Goldbeter Model
Belyaev, A. V. and Ryazanova, T. V: Piecewise Smooth Map of Neuronal Activity: Deterministic and Stochastic Cases
Kolinichenko, A. P. and Ryashko, L. B: Analysis of Spatial Patterns in the Distributed Stochastic Brusselator
Nasyrova, V. M. and Ryashko, L. B: Stochastic Splitting of Oscillations in a Discrete Model of Neural Activity
Ryashko, L. B. and Slepukhina, E. S: Stochastic Deformation of Invariant Tori in Neuron Model
Part III: Topology and Function Approximation
Lipin, A. E.: Resolvability of Pseudocompact Spaces at a Point
Pleshcheva, E. A: Fast Algorithms for Function Decomposition Based on n-Separate Periodic Wavelets
Part IV: Mathematical Biology and Bioinformatics
Averbukh, V. L., Mikhailov, I. O., Forghani, M. A., and Vasev, P. A: 3D Visualization to Analyze Multidimensional QBiological and Medical Data
Markov, N. S. and Ryvkin, A. M: The Peculiarities of Calcium Sparks Formation in Cardiac Cells in silico
Myachina, T. A. and Lookin, O. N: A Configurable Algorithm for Determining the Mean Sarcomere Length of a Cardiomyocyte by Discrete Fourier Transform
Pravdin, S. F., Nezlobinsky, T. V., Epanchintsev, T. I., Dierckx, H. and Panfilov, A. V: Simulation of Low-voltage Cardioversion in a Two-Dimensional Isotropic Excitable Medium Using Ionic Cell Models
Razumov, A. A. and Ushenin, K. S: The Influence of Left Ventricle Wall Thickness and Scar Fibrosis on Pseudo-ECG
Ryvkin, A. M. and Budeeva, E. A: Modeling the Effect of Ion Channel Inhibitors on the Functioning of the Cardiac Sinoatrial Node Cells
Khamzin, S. Yu. and Iaparov, B. I: The Influence of Ryanodine Receptors’ Non-uniform Arrangement on the Probability of Ca2+ Sparks
Stroshkov, V. P., Zotova, N. V., Novikov, N. V., Nosyrev, M. B., Semin, A. N., Kitonsa, H: Methods of Evaluating the Adaptation of the Body of Agricultural Workers to Changing Conditions of Social and Industrial Environment
Part V: Mathematical Modelling in Mining
Makarov, N. V., V.N. Makarov., V. N., Lifanov, A. V., Materov, A. Y., and Kitonsa, H:Development of Mathematical Model of Circular Grill of Piece-Smooth Profiles and Creation on its Basis of Gas-Sucking Fans
Makarov, V. N., Makarov, N. V., Lifanov, A. V., Materov, A. Y., and Kitonsa, H: Mathematical Model of Conformal Mappings in the Theory of Radial Grids of Mine Turbomachines
Nosyrev, M. B., Makarov, N. V., Makarov, V. N., Ugolnikov, A. V., and Kitonsa, H: Mathematical Model of Hydrovortex Hetero-Coagulation
Part VI: Mathematical Modelling in Economics
Kolesnikov, S. I. and Dolzhenko, L. M: Methodology for Assessing the Level of the Territory’s Economic Security
Novikov, N. V., Nosyrev, M. B., Plotnikov, N. S., Semin, A. N., Stroshkov, V. P., and Kitonsa H: The Third Dimension of the Supply-Demand Diagram
Part VII: Computer Science and Image Processing
Veretennikov, A. B.: Proximity Full-text Searches of Frequently Occurring Words with a Response Time Guarantee
Kostousov, V. B. and Dunaevskaya, K. V: Development and Research of Algorithm for Coordinates Correction on the Basis of Microrelief
Kornilov, F. A. and Dunaeva, A. V: Method for Constructing Orthorectified Satellite Image using Stereo Imagery and Digital Surface Model
Serezhnikova, T. I: An Effective Subgradient Method for Simultaneous Restoration and Segmentation of Blurred Images.
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