Analysis, Modelling, Optimization, and Numerical Techniques

1. Front Matter

   Pages i-xii

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2. Augmented Lagrangian Method for Optimal Control Problems

   • Anatoly Antipin, Olga Vasilieva

   Pages 1-36

3. Minimizing Sign Changes Rowwise: Consecutive Ones Property and Beyond

   • Dominique Fortin, Ider Tseveendorj

   Pages 37-48

4. Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Media, and Quasibrittle Cracks

   • Boris D. Annin, Victor A. Kovtunenko, Vladimir M. Sadovskii

   Pages 49-56

5. Effects of a Discrete Time Delay on an HIV Pandemic

   • Ibrahim Diakite, Benito M. Chen-Charpentier

   Pages 57-73

6. On the Riemann Problem for a Hyperbolic System of Temple Class

   • Richard A. De la cruz Guerrero, Juan C. Juajibioy

   Pages 75-88

7. Consequences of Weak Allee Effect in a Leslie–Gower-Type Predator–Prey Model with a Generalized Holling Type III Functional Response

   • Paulo C. Tintinago-Ruíz, Leonardo D. Restrepo-Alape, Eduardo González-Olivares

   Pages 89-103

8. Critical Points of Solutions to Elliptic Equations in Planar Domains with Corners

   • Jaime Arango, Jairo Delgado

   Pages 105-112

9. Sub-Riemannian Geodesics in the Octonionic H-type Group

   • Christian Autenried, Mauricio Godoy Molina

   Pages 113-126

10. Regularization of Inverse Ill-Posed Problems with L ²-BV Penalizers and Applications to Signal Restoration

    • Gisela L. Mazzieri, Ruben D. Spies, Karina G. Temperini

    Pages 127-137

11. Stability Analysis of a Finite Difference Scheme for a Nonlinear Time Fractional Convection Diffusion Equation

    • Carlos D. Acosta, Pedro A. Amador, Carlos E. Mejía

    Pages 139-150

12. Dealing with Uncertainties in Computing: From Probabilistic and Interval Uncertainty to Combination of Different Types of Uncertainty

    • Vladik Kreinovich

    Pages 151-171

13. A Unified Approach to Piecewise Linear Hopf and Hopf-Pitchfork Bifurcations

    • Enrique Ponce, Javier Ros, Elísabet Vela

    Pages 173-184

14. Optimal Decision Making for Breast Cancer Treatment in the Presence of Cancer Regression and Type II Error in Mammography Results

    • Sergio A. Vargas, Shengfan Zhang, Raha Akhavan-Tabatabaei

    Pages 185-204

15. On the Iterative Steering of a Rolling Robot Actuated by Internal Rotors

    • Akihiro Morinaga, Mikhail Svinin, Motoji Yamamoto

    Pages 205-218

16. Odontological Information Along Cone Splines

    • Cindy González, Marco Paluszny

    Pages 219-233

17. Modeling Cell Decisions in Bone Formation

    • Rodrigo Assar, Alejandro Maass, Joaquín Fernández, Ernesto Kofman, Martín A. Montecino

    Pages 235-245

18. Biodiversity and its Role on Diseases Transmission Cycles

    • Juan Manuel Cordovez, Camilo Sanabria

    Pages 247-256

19. Simulation Model for AIDS Dynamics and Optimal Control Through Antiviral Treatment

    • Carlos Andrés Trujillo-Salazar, Hernán Darío Toro-Zapata

    Pages 257-270

20. Orbital Relative Movement Applied the Formation Flight of Artificial Satellites Around the Earth

    • Jorge Soliz, Daniel Molano

    Pages 271-281

This book highlights recent compelling research results and trends in various aspects of contemporary mathematics, emphasizing applicabilitions to real-world situations. The chapters present exciting new findings and developments in situations where mathematical rigor is combined with common sense. A multi-disciplinary approach, both within each chapter and in the volume as a whole, leads to practical insights that may result in a more synthetic understanding of specific global issues as well as their possible solutions. The volume will be of interest not only to experts in mathematics, but also to graduate students, scientists, and practitioners from other fields including physics, biology, geology, management, and medicine.

• applied analysis
• computational mathematics
• dynamic systems
• mathematical modelling
• operational research
• stochastic processes

• Department of Electric, Electronic and Computer Science, Universidad Nacional de Colombia, Manizales, Colombia

  Gerard Olivar Tost

• Mathematics, Universidad del Valle, Cali, Colombia

  Olga Vasilieva

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