Conformable Dynamic Equations on Time Scales

This book is devoted to the qualitative theory of conformable dynamic eqs. on time scales and summarizes the most recent contributions in this area, and vastly expands on them to conceive of a comprehensive theory developed exclusively for this book.

Informationen zum Autor About the Authors Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems. Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales and integral equations. Klappentext This book is devoted to the qualitative theory of conformable dynamic eqs. on time scales and summarizes the most recent contributions in this area, and vastly expands on them to conceive of a comprehensive theory developed exclusively for this book. Zusammenfassung This book is devoted to the qualitative theory of conformable dynamic eqs. on time scales and summarizes the most recent contributions in this area, and vastly expands on them to conceive of a comprehensive theory developed exclusively for this book. Inhaltsverzeichnis 1. Conformable Dynamic Calculus on Time Scales. 2. First Order Linear Dynamic Equations. 3. Conformable Dynamic Systems on Time Scales. 4. Linear Conformable Inequalities. 5. Cauchy Type Problem for a Class Nonlinear Conformable Dynamic Equations. 6. Higher Order Linear Conformable Dynamic Equations with Constant Coefficients. 7. Second Order Conformable Dynamic Equations. 8. Second-Order Self-Adjoint Conformable Dynamic Equations. 9. The Conformable Laplace Transform. Appendix A. Derivatives on Banach Spaces. Appendix B. A Chain Rule.

Autorentext

About the Authors

Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems.

Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales and integral equations.

Inhalt

1. Conformable Dynamic Calculus on Time Scales. 2. First Order Linear Dynamic Equations. 3. Conformable Dynamic Systems on Time Scales. 4. Linear Conformable Inequalities. 5. Cauchy Type Problem for a Class Nonlinear Conformable Dynamic Equations. 6. Higher Order Linear Conformable Dynamic Equations with Constant Coefficients. 7. Second Order Conformable Dynamic Equations. 8. Second-Order Self-Adjoint Conformable Dynamic Equations. 9. The Conformable Laplace Transform. Appendix A. Derivatives on Banach Spaces. Appendix B. A Chain Rule.