Higher-order three-point boundary value problem on time scales

作者：Anderson Douglas R^*; Karaca Ilkay Yaslan

来源：Computers & Mathematics with Applications, 2008, 56(9): 2429-2443.

DOI：10.1016/j.camwa.2008.05.018

• Time scale
• Dynamic equation
• Cone
• Fixed-point theorem
• Positive solution

In this paper, we consider a higher-order three-point boundary value problem on time scales. We study the existence of solutions of a non-eigenvalue problem and of at least one positive solution of an eigenvalue problem. Later we establish the criteria for the existence of at least two positive solutions of a non-eigenvalue problem. Examples are also included to illustrate our results.

• 出版日期2008-11