The theory of time scales was created to unify continuous and discrete analysis. Difference and differential equations can be studied simultaneously by studying dynamic equations on time scales. Recently, there has been much interest in the study of dynamical systems on time scales due to their applications to real world problems, such as electric circuits and insect populations. Many application problems can be studied more precisely using dynamical systems on time scales. Subjects such as existence and uniqueness of solutions, stability, Floquet theory, periodicity, stability, and boundedness of solutions can be studied more precisely and generally by utilizing dynamical systems on time scales. Recently, many researchers have been looking at the applications of time scales in various economics models utilizing optimal control theory and developing more realistic models in population dynamics using time scales.

The main objective of Discrete Dynamics in Nature and Society is to foster links between basic and applied research relating to discrete dynamics of complex systems encountered in the natural and social sciences. The journal provides a channel of communication between scientists and practitioners working in the field of complex systems analysis and will stimulate the development and use of discrete dynamical approach.The major aim of this special issue is for authors from scientific disciplines to publish high quality research on recent developments in the field of dynamical systems on time scales and related applications.

Potential topics include but are not limited to the following:

• Boundary value problems
• Boundary value problems at reosonance
• Upper and lower solutions
• Inequalities
• Transformations
• Qualitative analysis of functional dynamical systems with finite and infinite delays; such analysis may include stability, boundedness, existence, and uniqueness of solutions and the existence of periodic solutions
• Integrodynamical system on time scales
• Calculus of variations on time scales
• Numerical solutions of dynamical systems
• Applications of dynamical system on time scales; such applications may include economics models utilizing optimal control theory and the development of new population models