Solvability of a Multi-Point Boundary Value Problem at Resonance
✍ Scribed by Bogdan Przeradzki; Robert Stańczy
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 78 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0022-247X
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Third-order differential equations, coincidence degree theory, multi-point boundary value problem, resonance MSC (2010) 34B-15 Based on the coincidence degree theory of Mawhin, we prove some existence results for the following thirdorder multi-point boundary value problem at resonance
In this article, we prove an existence result for a nonlocal boundary value problem at resonance concerning a second order differential equation. Our method is based upon the coincidence degree theory of Mawhin.
This problem was studied earlier by Gupta, Ntouyas, and Tsamatos when ␣ F 1 and when ␣ ) 1 with ␣ -1. In the general case this problem was studied by Gupta as a multi-point boundary value problem. In this paper sharper existence conditions are obtained for the solvability of the above boundary value