The Detail of Several Proofs

 

Shao-Yuan Huang and Shin-Hwa Wang

 

 

In this website, we provide the detail of proofs of Lemmas 3.8, 3.9(ii), and assertions (3.30),  (3.52), (3.54) appeared in our joint paper:

 

A variational property on the evolutionary bifurcation curves for a positone

problem with cubic nonlinearity.

 

We remark that all computations of these proofs are supported by symbolic manipulator Maple 16.

 

 

l  Proof of Lemma 3.8. (Link)

 

l  Proof of Lemma 3.9(ii). (Link)

 

l  Proof of assertion (3.30). (Link)

 

l  Proof of assertion (3.52). (Link)

 

l  Proof of assertion (3.54). (Link)