Mathematical Analysis With Applications: In Honor of the 90th Birthday of Constantin Corduneanu, Ekaterinburg, Russia, July 2018

Front Matter ....Pages i-xlii
Front Matter ....Pages 1-1
 On Abstract Volterra Equations in Partially Ordered Spaces and Their Applications  (E. O. Burlakov, E. S. Zhukovskiy)....Pages 3-11
 On Implicit Abstract Volterra Equations in Metric Spaces  (E. O. Burlakov, E. A. Pluzhnikova)....Pages 13-23
 On the Choice of Parameters of the Method of Dynamic Regularization for the Problem of Differentiation  (A. Yu. Vdovin, S. S. Rubleva)....Pages 25-32
 Crank–Nicolson Numerical Algorithm for Nonlinear Partial Differential Equation with Heredity and Its Program Implementation  (T. V. Gorbova, V. G. Pimenov, S. I. Solodushkin)....Pages 33-43
 On Coincidence Points of Mappings Between Partially Ordered Sets  (S. E. Zhukovskiy)....Pages 45-50
 An Algorithm for Constructing Reachable Sets for Systems with Multiple Integral Constraints  (I. V. Zykov)....Pages 51-60
 Similarity and Structural Stability with Respect to Delay of FDE Phase Portraits  (A. V. Kim, N. A. Andryushechkina, V. V. Kim)....Pages 61-67
 Real-Time Modeling of System State During the Process of More Precise Estimation of the Initial Position  (A. V. Kim, N. A. Andryushechkina)....Pages 69-77
 Finite Difference Scheme for Special System of Partial Differential Equations  (A. V. Kim, N. A. Andryushechkina)....Pages 79-83
 On URANS Congruity with Time Averaging: Analytical Laws Suggest Improved Models  (W. Layton, M. McLaughlin)....Pages 85-108
 Geometric Singularities of the Solution of the Dirichlet Boundary Problem for Hamilton–Jacobi Equation with a Low Order of Smoothness of the Border Curve  (P. D. Lebedev, A. A. Uspenskii)....Pages 109-122
 Applications of the Theory of Covering Maps to the Study of Dynamic Models of Economic Processes with Continuous Time  (N. G. Pavlova)....Pages 123-129
 Smooth Solutions of Linear Functional Differential Equations of Neutral Type  (V. B. Cherepennikov, A. V. Kim)....Pages 131-139
 On an Inverse Problem to a Mixed Problem for the Poisson Equation  (N. Yu. Chernikova, E. B. Laneev, M. N. Muratov, E. Yu. Ponomarenko)....Pages 141-149
 Stabilization of the Two Degree of Freedom Linear Milling Model  (R. I. Shevchenko)....Pages 151-159
Front Matter ....Pages 161-161
 Stochastic Sensitivity Analysis and Control in the Bistable Electronic Generator  (I. A. Bashkirtseva, T. D. Belyaeva)....Pages 163-172
 Noise-Induced Effects in Goldbeter Model  (I. A. Bashkirtseva, S. S. Zaitseva)....Pages 173-182
 Piecewise Smooth Map of Neuronal Activity: Deterministic and Stochastic Cases  (A. V. Belyaev, T. V. Ryazanova)....Pages 183-193
 Analysis of Spatial Patterns in the Distributed Stochastic Brusselator  (A. P. Kolinichenko, L. B. Ryashko)....Pages 195-204
 Stochastic Splitting of Oscillations in a Discrete Model of Neural Activity  (V. M. Nasyrova, L. B. Ryashko)....Pages 205-211
 Stochastic Deformation of Invariant Tori In Neuron Model  (L. B. Ryashko, E. S. Slepukhina)....Pages 213-219
Front Matter ....Pages 221-221
 Resolvability of Pseudocompact Spaces at a Point  (A. E. Lipin)....Pages 223-228
 Fast Algorithms for Function Decomposition Based on n-Separate Periodic Wavelets  (E. A. Pleshcheva)....Pages 229-237
Front Matter ....Pages 239-239
 3D Visualization to Analyze Multidimensional Biological and Medical Data  (V. L. Averbukh, I. O. Mikhailov, M. A. Forghani, P. A. Vasev)....Pages 241-251
 The Peculiarities of Calcium Sparks Formation in Cardiac Cells in Silico  (N. S. Markov, A. M. Ryvkin)....Pages 253-264
 A Configurable Algorithm for Determining the Mean Sarcomere Length of a Cardiomyocyte By Discrete Fourier Transform  (T. A. Myachina, O. N. Lookin)....Pages 265-272
 Simulation of Low-Voltage Cardioversion in a Two-Dimensional Isotropic Excitable Medium Using Ionic Cell Models  (Sergei Pravdin, Timur Nezlobinsky, Timofei Epanchintsev, Hans Dierckx, Alexander Panfilov)....Pages 273-288
 The Influence of Left Ventricle Wall Thickness and Scar Fibrosis on Pseudo-ECG  (A. A. Razumov, K. S. Ushenin)....Pages 289-300
 Modeling the Effect of Ion Channel Inhibitors on the Functioning of the Cardiac Sinoatrial Node Cells  (A. M. Ryvkin, E. A. Budeeva)....Pages 301-309
 The Influence of Ryanodine Receptors’ Non-uniform Arrangement on the Probability of Ca\(^{2+}\) Sparks  (S. Yu. Khamzin, B. I. Iaparov)....Pages 311-318
 Methods of Evaluating the Adaptation of the Body of Agricultural Workers to Changing Conditions of Social and Industrial Environment  (V. P. Stroshkov, N. V. Zotova, N. V. Novikov, M. B. Nosyrev, A. N. Semin, H. Kitonsa)....Pages 319-324
Front Matter ....Pages 325-325
 Development of Mathematical Model of Circular Grill of Piece-Smooth Profiles and Creation on Its Basis of Gas-Sucking Fans  (N. V. Makarov, V. N. Makarov, A. V. Lifanov, A. Y. Materov, H. Kitonsa)....Pages 327-335
 Mathematical Model of Conformal Mappings in the Theory of Radial Grids of Mine Turbomachines  (V. N. Makarov, N. V. Makarov, A. V. Lifanov, A. Y. Materov, H. Kitonsa)....Pages 337-346
 Mathematical Model of Hydrovortex Hetero-Coagulation  (M. B. Nosyrev, N. V. Makarov, V. N. Makarov, A. V. Ugolnikov, H. Kitonsa)....Pages 347-355
Front Matter ....Pages 357-357
 Methodology for Assessing the Level of the Territory’s Economic Security  (S. I. Kolesnikov, L. M. Dolzhenko)....Pages 359-364
 The Third Dimension of the Supply-Demand Diagram  (N. V. Novikov, M. B. Nosyrev, N. S. Plotnikov, A. N. Semin, V. P. Stroshkov, H. Kitonsa)....Pages 365-374
Front Matter ....Pages 375-375
 Proximity Full-Text Searches of Frequently Occurring Words with a Response Time Guarantee  (A. B. Veretennikov)....Pages 377-391
 Development and Research of Algorithm For Coordinates Correction on the Basis Of Microrelief  (V. B. Kostousov, K. V. Dunaevskaya)....Pages 393-405
 Method for Constructing Orthorectified Satellite Image Using Stereo Imagery and Digital Surface Model  (F. A. Kornilov, A. V. Dunaeva)....Pages 407-415
 An Effective Subgradient Method for Simultaneous Restoration and Segmentation of Blurred Images  (T. I. Serezhnikova)....Pages 417-422