New Trends in Analysis and Interdisciplinary Applications

1. Front Matter

   Pages i-lxi

   PDF

2. Complex-Analytic Methods for Applied Sciences, Complex Geometry and Generalized Functions

   1. Front Matter

      Pages 1-1

      PDF

   2. Generalized Functions Method for Solving Nonstationary Boundary Value Problems for Strictly Hyperbolic Systems with Second-Order Derivatives

      • L. A. Alexeyeva, G. K. Zakir’yanova

      Pages 3-11

   3. A Fast Algorithm to Determine the Flux Around Closely Spaced Non-overlapping Disks

      • Olaf Bar

      Pages 13-18

   4. Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits

      • Roman Czapla, Vladimir V. Mityushev

      Pages 19-25

   5. Functional Equations for Analytic Functions and Their Application to Elastic Composites

      • Piotr Drygaś, Vladimir Mityushev

      Pages 27-33

   6. An Example of Algebraic Symplectic Reduction for the Additive Group

      • Victoria Hoskins

      Pages 35-42

   7. Submanifolds with Splitting Tangent Sequence

      • Priska Jahnke, Ivo Radloff

      Pages 43-49

   8. Generalized Solutions to Stochastic Problems as Regularized in a Broad Sense

      • Irina V. Melnikova

      Pages 51-57

   9. Image Processing Algorithms in Different Areas of Science

      • Mateusz Muchacki

      Pages 59-62

   10. Boundary Value Problems for Half-Plane, Strip and Rectangle with Circular Inclusions

       • E. Pesetskaya, N. Rylko

       Pages 63-68

   11. Regular Strata and Moduli Spaces of Irregular Singular Connections

       • Daniel S. Sage

       Pages 69-75

   12. Analysis of the Strategy Used to Solve Algorithmic Problem: A Case Study Based on Eye Tracking Research

       • Anna Stolińska, Magdalena Andrzejewska

       Pages 77-86

3. Complex and Functional-Analytic Methods for Differential Equations and Applications

   1. Front Matter

      Pages 87-87

      PDF

   2. Green and Neumann Functions for Strips

      • H. Begehr

      Pages 89-95

   3. The Forecast of Ebola Virus Propagation

      • Zaiqiang Ku, Li Cheng

      Pages 97-103

   4. On Existence of the Resolvent and Discreteness of the Spectrum of the Schrödinger Operator with a Parameter Changing Sign

      • M. B. Muratbekov

      Pages 105-110

   5. Source Identification for the Differential Equation with Memory

      • S. A. Avdonin, G. Y. Murzabekova, K. B. Nurtazina

      Pages 111-120

   6. New Methods for Volterra Type Integral Equation with Boundary Singular Point

      • Rajabov Nusrat

      Pages 121-127

   7. Approximate Properties of Solutions of Second Order Differential Equations with Unbounded Drift Coefficient

      • K. N. Ospanov

      Pages 129-134

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

• Interdisciplinary Applications of Mathematics
• Mathematical Analysis
• Numerical Analysis
• Probability and Statistics
• Pure and Applied Mathematics
• partial differential equations

• Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

  Pei Dang

• Department of Mathematics, University of Aveiro, Aveiro, Portugal

  Min Ku

• Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

  Tao Qian

• Department of Mathematics, University of Torino, Torino, Italy

  Luigi G. Rodino

Policies and ethics