Applications of maximum principles to dynamic equations on time scales

作者：Stehlik Petr; Thompson Bevan^*

来源：Journal of Difference Equations and Applications, 2010, 16(4): 373-388.

DOI：10.1080/10236190802425227

• maximum principles on time scales
• non-linear comparison results
• boundary point lemma

We apply the strong maximum principle to obtain a priori bounds and uniqueness of solutions for some initial value and boundary value problems as well as to establish oscillation results for second-order dynamic equations on time scales. Our comparison, uniqueness, and oscillation results are new and are extensions of results for ordinary differential equations to the times scale setting.

• 出版日期2010