Variational Calculus on Time Scales

Svetlin G. Georgiev
Sorbonne University, Paris, France. Sofia University, Sofia, Bulgaria

Series: Mathematics Research Developments
BISAC: MAT005000



Volume 10

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Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick


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This book encompasses recent developments of variational calculus for time scales. It is intended for use in the field of variational calculus and dynamic calculus for time scales. It is also suitable for graduate courses in the above fields. This book contains eight chapters, and these chapters are pedagogically organized. This book is specially designed for those who wish to understand variational calculus on time scales without having an extensive mathematical background.

Audience: graduate courses in the dynamic calculus on time scales, workshops for scientists working in the area of the time scale calculus


Chapter 1. Elements of the Time Scale Calculus

Chapter 2. Dynamic Systems on Time Scales

Chapter 3. Functionals 127

Chapter 4. Linear Hamiltonian Dynamic Systems

Chapter 5. The First Variation

Chapter 6. Higher Order Calculus of Variations

Chapter 7. Double Integral Calculus of Variations

Chapter 8. Noether’s Second Theorem


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