Evolution Equations: Almost Periodicity and Beyond (In Memory of Professor V.V. Zhikov)

Gaston M. N’Guerekata (Editor)
Morgan State University, Baltimore, MD, US

Jin Liang (Editor)

Alexander Pankov (Editor)

Series: Mathematics Research Developments
BISAC: MAT029000




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This volume of Advances in Evolution Equations is dedicated to the memory of Professor Vasilii Vasilievich Zhikov, an outstanding Russian mathematician. Zhikov’s scientific interest ranged from almost periodic differential equations and topological dynamics to spectral theory of elliptic operators, qualitative theory of parabolic equations, calculus of variations, homogenization, and hydrodynamics, to name a few. Many of his results are now classical.


Chapter 1. Dimension Theory Approach to the Complexity of Almost Periodic Trajectories
(Mikhail Anikushin, Department of Applied Cybernetics, Faculty of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia)

Chapter 2. Good Measures for Nonlinear Neumann Anisotropic Problems with Variable Exponent
(Ibrahime Konaté and Stanislas Ouaro, Laboratoire de Mathématiques et Informatique (LAMI), UFR, Sciences Exactes et aplliquées, Université Ouaga I Pr Joseph KI-ZERBO, Ouagadougou, Burkina Faso, West Africa)

Chapter 3. Dynamics of Cracks in Rocks
(Anvarbek Meirmanov, Juan Majorga Zambrano, Oleg Galtsev and Oksana Galtseva, Yachay Tech University, San Miguel de Urcuqui, Hacienda San Jose s/n y Proyecto Yachay, Ecuador, and others)

Chapter 4. Comparisons of Some Iterative Algorithms for Biot Equations
(Mingchao Cai and Guoping Zhang, Department of Mathematics, Morgan State University, Baltimore, MD, US)

Chapter 5. Nonlinear Implicit Hadamard’s Fractional Differential Equations on Banach Space with Retarded and Advanced Arguments
(Mouffak Benchohra, Jamal–Eddine Lazreg and Gaston N’Guérékata, Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes, Algeria, and others)

Chapter 6. Almost Periodic Solutions for Nonlinear Integro-Differential Elliptic-Parabolic Equations with Variable Exponents of Nonlinearty
(Mykola Bokalo and Iryna Skira, Department of Differential Equations, Ivan Franko National University of Lviv, Lviv, Ukraine)

Chapter 7. A Stochastic Delay Model for Pricing Debt and Loan Guarantees: Theoretical Results
(Elisabeth Kemajou-Brown, Salah-Eldin A. Mohammed, Olivier Menoukeu-Pamen and Antoine Tambue, Department of Mathematics, Morgan State University, Baltimore MD, US, and others)

Chapter 8. Bohr/Levitan Almost Periodic and Almost Automorphic Solutions of Linear Stochastic Differential Equations without Favard’s Separation Condition
(David Cheban, State University of Moldova, Faculty of Mathematics and Informatics, Department of Mathematics, Chişinău, Moldova)

Chapter 9. Local Stable Manifolds of Admissible Classes for Parabolic Functional Equations and Applications to Hutchinson Models
(Nguyen Thieu Huy and Dinh Xuan Khanh, School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam, and others)

Chapter 10. Existence of Solutions for Impulsive Anti-Periodic Boundary Value Problems
(Yunsong Miao and Fang Li, School of Mathematics, Yunnan Normal University, Kunming, China)

Chapter 11. Impulsive Problems for Fractional Differential Equations with Nonlocal Delay
(Yuxin Hu and Fang Li, School of Mathematics, Yunnan Normal University, Kunming, China)

Chapter 12. An Overview on Two Degenerate Kirchhoff Wave Problems Involving Fractional Laplacian Operators
(Patrizia Pucci, Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Perugia, Italy)

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