Differential and Difference Equations with Applications

1. Front Matter

   Pages i-xv

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2. Algebraic Properties of the Semi-direct Product of Kac–Moody and Virasoro Lie Algebras and Associated Bi-Hamiltonian Systems

   • Alexander Zuevsky

   Pages 1-7

3. Analytical-Numerical Solutions for First-Order Periodic Boundary Value Problems Using the Reproducing Kernel Algorithm

   • Ayed Al e’damat, Mohammed Al-Smadi, Iryna Komashynska, Ali Ateiwi, Ala’ Alrawajfi

   Pages 9-23

4. Existence of the Mild Solutions for Nonlocal Fractional Differential Equations of Sobolev Type with Iterated Deviating Arguments

   • Alka Chadha, Dwijendra N. Pandey

   Pages 25-37

5. On Source Identification Problem for Telegraph Differential Equations

   • Allaberen Ashyralyev, Fatma Çekiç

   Pages 39-50

6. On a One-Equation Turbulent Model with Feedbacks

   • H. B. de Oliveira, A. Paiva

   Pages 51-61

7. On Stationary Solutions of KdV and mKdV Equations

   • A. V. Faminskii, A. A. Nikolaev

   Pages 63-70

8. A Filippov-Type Existence Theorem for Some Nonlinear q-Difference Inclusions

   • Aurelian Cernea

   Pages 71-77

9. Complex-Valued Fractional Derivatives on Time Scales

   • Benaoumeur Bayour, Delfim F. M. Torres

   Pages 79-87

10. Uniform Stabilization of a Hybrid System of Elasticity: Riesz Basis Approach

    • M. Driss Aouragh

    Pages 89-98

11. Monotone Iterative Technique for Systems of Nonlinear Caputo Fractional Differential Equations

    • Faten Toumi

    Pages 99-107

12. Oscillatory Solutions of Boundary Value Problems

    • Felix Sadyrbaev

    Pages 109-117

13. An Issue About the Existence of Solutions for a Linear Non-autonomous MTFDE

    • M. Filomena Teodoro

    Pages 119-129

14. Magnetohydrodynamic Flow of a Power-Law Fluid over a Stretching Sheet with a Power-Law Velocity

    • Gabriella Bognár

    Pages 131-139

15. Existence of Mild Solutions for Impulsive Fractional Functional Differential Equations of Order α ∈ (1, 2)

    • Ganga Ram Gautam, Jaydev Dabas

    Pages 141-148

16. Nonlinear Dynamical Systems in Modeling and Control of Infectious Disease

    • Md. Haider Ali Biswas, Md. Mohidul Haque

    Pages 149-158

17. Analysis of Difference Approximations to Delay Pseudo-Parabolic Equations

    • Gabil M. Amiraliyev, Mustafa Kudu, Ilhame Amirali

    Pages 159-168

18. Oscillations of Delay and Difference Equations with Variable Coefficients and Arguments

    • I. P. Stavroulakis

    Pages 169-189

19. On Asymptotic Classification of Solutions to Nonlinear Regular and Singular Third- and Fourth-Order Differential Equations with Power Nonlinearity

    • I. V. Astashova

    Pages 191-203

20. Some Properties of a Generalized Solution for 3-D Flow of a Compressible Viscous Micropolar Fluid Model with Spherical Symmetry

    • Ivan Dražić, Nermina Mujaković

    Pages 205-213

Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in the field of differential and difference equations, applications of differential and difference equations, as well as high-level survey results. The main aim of this recurring conference series is to promote, encourage, cooperate, and bring together researchers in the fields of differential & difference equations. All areas of differential and difference equations are represented, with special emphasis on applications.

• differential equations
• difference equations
• ordinary differential equations
• partial differential equations
• numerical analysis
• numerical methods
• applications of differential equations

• Departamento de Ciências Exactas e Naturais, Academia Militar, Amadora, Portugal

  Sandra Pinelas

• Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

  Zuzana Došlá, Ondřej Došlý

• School of Mathematics and Stastistics, Huazhong University of Science and Technology, Wuhan, China

  Peter E. Kloeden

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