Existence of positive solutions of a Sturm-Liouville BVP on an unbounded time scale

Abstract

A fixed point theorem of Guo-Krasnoselskii type is used to establish existence results for the nonlinear Sturm-Liouville dynamic equation

with the boundary conditions on an unbounded time scale. Later on the positivity and the boundedness of the solutions are obtained by imposing some conditions on f.

Keywords:

• Sturm-Liouville BVP
• Infinite interval
• Positive solutions
• Fixed point theorem
• Time scales

Keywords:

• 39A10
• 34B18
• 34B40
• 45G10

Notes

¹ [email protected]

² [email protected]

Additional information

Notes on contributors

Ahmet Yantir

¶ 1 [email protected]

Erbil Cetin

§ 2 [email protected]