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Existence and multiplicity of solutions of a kind of fourth-order boundary value problem. (English) Zbl 1076.34015
Summary: Here, existence and multiplicity results on the solutions are obtained for the fourth-order boundary value problem $$a^{(4)} (t)= f(t,u(t))$$ for all $$t\in [0, 1]$$ subject to $$u(0)= u(1)= u''(0)= u (1)= 0$$, where $$f$$ is continuous. The monotone operator theory and critical point theory are used to discuss this problem.

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations
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##### References:
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