34N05 Dynamic equations on time scales or measure chains

Overview

34N05 studies dynamic equations on time scales or measure chains in dynamic equations on time scales. It studies equations on arbitrary time scales, unifying differential and difference equations in a single framework.

Related Wikipedia Page

Dynamic Equations On Time Scales (Wikipedia)

Useful Links

• Dynamic Equations On Time Scales (Wikipedia)
• Time scale calculus (Wikipedia)
• Dynamic equation (Wikipedia)

Key Ideas

• Canonical formulations and representative examples for dynamic equations on time scales or measure chains
• How structural, local, and computational viewpoints interact in the subject
• Standard theorem patterns and invariants used in current research practice

Typical Uses

Used to develop unified discrete-continuous dynamics and applications in hybrid models.

Applications

• Unified difference/differential calculus
• Hybrid dynamic models
• Time-scale stability theory

References

• Bohner, M. and Peterson, A. (2001) Dynamic Equations on Time Scales. Birkhäuser.
• Bohner, M. and Peterson, A. (2003) Advances in Dynamic Equations on Time Scales. Birkhäuser.

Recommended Textbooks

• Rudin, W. (1976) Principles of Mathematical Analysis. 3rd edn. New York, NY: McGraw-Hill.
• Topic-focused textbook search (n.d.) Dynamic equations on time scales or measure chains. Available via Amazon search.