In this paper, we use the lower and upper solution method to obtain an existence theorem for the fourth-order boundary-value problem
where , are continuous and may be nonlinear, and denotes the Riemann-Stieltjes integral.
Submitted October 19, 2007. Published April 10, 2008.
Math Subject Classifications: 34B15.
Key Words: Fourth-order boundary-value problem; upper and lower solution; Riemann-Stieltjies integral; Nagumo-type condition.
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| Yang Liu |
Department of Mathematics, Yanbian University
Yanji, Jilin 133000, China.
Department of Mathematics, Huaiyin Teachers College
Huaian, Jiangsu 223300, China
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