Abstract
In this paper we consider the following nonlinear third order two-point boundary value problem \begin{align*} & x'''(t)+f(t,x(t))=0,\quad a \lt t \lt b,\\ & x(a)=x''(a)=x(b)=0. \end{align*} By using the Leggett-Williams and Krasnosel'skii fixed-point theorems, we offer criteria for the existence of three positive solutions to the boundary value problem. Examples are also included to illustrate the results obtained.
Citation
Zeqing Liu. Shin Min Kang. Jeong Sheok Ume. "TRIPLE POSITIVE SOLUTIONS OF NONLINEAR THIRD ORDER BOUNDARY VALUE PROBLEMS." Taiwanese J. Math. 13 (3) 955 - 971, 2009. https://doi.org/10.11650/twjm/1500405451
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