By using critical point theory, some new sufficient conditions for the existence of solutions of impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions are obtained. Some examples are also given to illustrate our results.
Yongkun Li. Tianwei Zhang. "On the Existence of Solutions for Impulsive Duffing Dynamic Equations on Time Scales with Dirichlet Boundary Conditions." Abstr. Appl. Anal. 2010 1 - 27, 2010. https://doi.org/10.1155/2010/152460