[HTML][HTML] Multiple positive solutions for functional dynamic equations on time scales

DB Wang, JP Sun, W Guan - Computers & mathematics with applications, 2010 - Elsevier
In this paper, we study the following functional dynamic equation on time scales: where Φ:
R→ R is an increasing homeomorphism and a positive homomorphism and Φ (0)= 0. By
using the well-known Leggett–Williams fixed point theorem, existence criteria for multiple
positive solutions are established. An example is also given to illustrate the main results.

[PDF][PDF] MULTIPLE POSITIVE SOLUTIONS FOR FUNCTIONAL DYNAMIC EQUATIONS ON TIME SCALES

AD OGUZ, FS TOPAL - Electronic Journal of Mathematical Analysis …, 2017 - journals.ekb.eg
… This paper is concerned with the existence of multiple positive solutions for a functional
dynamic equations with multi-point boundary conditions on time scales by using fixed point
theorems in a cone. As an application, we also give an example to demonstrate our results. …
Motivated by those works and the references therein, in this paper we shall consider the
following functional multi point problem on time scales: … In order to establish existence
criteria of at least three positive solutions of the problem (1) − (2), we define a nonnegative …
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