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Existence and nonexistence of positive solutions for second-order time scale systems

โœ Scribed by Jian-Ping Sun; Wan-Tong Li

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
246 KB
Volume
68
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

This paper is concerned with the following system on time scale T:

where 0, T โˆˆ T and T > 0. By using the theory of the fixed point index, we investigate the effect of ฯƒ 2 (T ) on the existence and nonexistence of positive solution for the above system in sublinear cases. The results obtained are even new for the special cases of difference system and differential system, as well as in the general time scale setting.

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