2021 | Ioannis Dassios, Omar Bazighifan and Osama Moaaz
This book, titled "Differential/Difference Equations: Mathematical Modeling, Oscillation and Applications," is a collection of articles from a special issue published in the open-access journal *Mathematics* (ISSN 2227-7390). It is edited by Ioannis Dassios, Omar Bazighifan, and Osama Moaaz, and published by MDPI. The book covers a range of topics in differential and difference equations, including oscillation theory, mathematical modeling, and applications in various fields such as mechanics, electrical engineering, and vibrotechnics.
The book includes 19 high-quality papers that present original research results and recent progress in the study of applied problems in science and technology. Key topics include:
1. **Oscillation Theory**: Several papers focus on oscillation criteria and the behavior of solutions to differential equations, including fourth-order and nonlinear equations.
2. **Mathematical Modeling**: Articles discuss the application of differential and difference equations in modeling various phenomena, such as mechanical systems and electrical circuits.
3. **Numerical Methods**: Some papers explore numerical methods for solving partial integro-differential equations and other types of differential equations, using techniques like the pseudospectral method and operational matrices.
4. **Asymptotic Behavior**: Research on the asymptotic behavior of solutions to differential equations is also covered, including the study of Kneser solutions and oscillatory properties.
The book is a valuable resource for researchers, engineers, and scientists interested in the theoretical and applied aspects of differential and difference equations. It provides a comprehensive overview of the latest advancements and applications in this field.This book, titled "Differential/Difference Equations: Mathematical Modeling, Oscillation and Applications," is a collection of articles from a special issue published in the open-access journal *Mathematics* (ISSN 2227-7390). It is edited by Ioannis Dassios, Omar Bazighifan, and Osama Moaaz, and published by MDPI. The book covers a range of topics in differential and difference equations, including oscillation theory, mathematical modeling, and applications in various fields such as mechanics, electrical engineering, and vibrotechnics.
The book includes 19 high-quality papers that present original research results and recent progress in the study of applied problems in science and technology. Key topics include:
1. **Oscillation Theory**: Several papers focus on oscillation criteria and the behavior of solutions to differential equations, including fourth-order and nonlinear equations.
2. **Mathematical Modeling**: Articles discuss the application of differential and difference equations in modeling various phenomena, such as mechanical systems and electrical circuits.
3. **Numerical Methods**: Some papers explore numerical methods for solving partial integro-differential equations and other types of differential equations, using techniques like the pseudospectral method and operational matrices.
4. **Asymptotic Behavior**: Research on the asymptotic behavior of solutions to differential equations is also covered, including the study of Kneser solutions and oscillatory properties.
The book is a valuable resource for researchers, engineers, and scientists interested in the theoretical and applied aspects of differential and difference equations. It provides a comprehensive overview of the latest advancements and applications in this field.