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Zbl 1006.34023
Bai, Zhanbing; Wang, Haiyan
On positive solutions of some nonlinear fourth-order beam equations. (English)
[J] J. Math. Anal. Appl. 270, No.2, 357-368 (2002). ISSN 0022-247X

Summary: The existence, uniqueness and multiplicity of positive solutions to the following boundary value problems is considered $$u^{(4)}(t)- \lambda f(t, u(t))= 0,\quad\text{for }0< t< 1,\quad u(0)= u(1)= u''(0)= u''(1)= 0,$$ where $\lambda> 0$ is a constant, $f: [0,1]\times [0,+\infty)\to [0,+\infty)$ are continuous.

MSC 2000:: *34B18 Positive solutions of nonlinear boundary value problems

Keywords: existence; uniqueness; multiplicity; positive solutions

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Zentralblatt MATH Berlin [Germany]