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Scholars Journal of Engineering and Technology | Volume-2 | Issue-04
Existence of Positive Solution for Nonlinear Third-Order Boundary Value Problem
Shujie Tian, Ling-bin Kong
Published: June 28, 2014 | 109 90
DOI: 10.36347/sjet
Pages: 542-550
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Abstract
The nonlinear third-order boundary value problem u t u t f t u t t ( ) ( ) ( , ( )),0 1     3 u u u   (0) 0, (1) 0, (1) 0    is studied in this work, where 0 4 3 3     .The existence result of at least one positive solution to above third-order boundary value problem is obtained by using fixed point index theory in cone.