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Existence and uniqueness theorems for the bending of an elastic beam equation. (English) Zbl 0611.34015
This paper concerns the existence and uniqueness theorems for nonlinear analogue of the boundary value problems describing the deformations of an elastic beam under an external load.

MSC:
34B15 Nonlinear boundary value problems for ordinary differential equations
34G20 Nonlinear differential equations in abstract spaces
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[1] DOI: 10.1016/S0022-247X(86)80006-3 · Zbl 0634.34009
[2] Hardy G. H., Inequalities (1952)
[3] Mawhin, J. Topological degree methods in nonlinear boundary value problems. NSF-CBMS Regional Conference series in Math.No. 40, Amer. Math. Soc. RI. Providence
[4] DOI: 10.1090/S0002-9939-1979-0545591-4
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