Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales

作者：Yang, Liu^*; Zhang, Weiguo

来源：Advances in Difference Equations, 2012, 1-9.

DOI：10.1186/1687-1847-2012-13

• boundary value problem
• time scale
• fixed point
• cone
• increasing homeomorphism and positive homomorphism

Investigated here are interesting aspects of the positive solutions for two kinds of m-point boundary value problems for an increasing homeomorphism and positive homo-morphism on time scales. By using the Avery-Peterson fixed point theorem, we obtain the existence of at least three positive solutions for these problems. The interesting point is that the nonlinear term depends on the first-order delta-derivative explicitly.

• 出版日期2012
• 单位合肥师范学院; 上海理工大学