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A Note on a Second Order Three-Point Boundary Value Problem

โœ Scribed by C.P. Gupta


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
139 KB
Volume
186
Category
Article
ISSN
0022-247X

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โœ Ruyun Ma ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 201 KB

Existence results for the second-order three-point boundary value problem ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . xะ‰ s f t, x, xะˆ , x 0 s A, x y x 1 s y 1 B, 0 --1, are presented. Our analysis is based on a Nonlinear Alternative of Leray-Schauder.

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โœ Xiaojie Lin; Zengji Du; Fanchao Meng ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 129 KB

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

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This problem was studied earlier by Gupta, Ntouyas, and Tsamatos when โฃ F 1 and when โฃ ) 1 with โฃ -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