Gupta, Chaitan P. Existence and uniqueness theorems for the bending of an elastic beam equation. (English) Zbl 0611.34015 Appl. Anal. 26, No. 4, 289-304 (1988). 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. Cited in 3 ReviewsCited in 181 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 34G20 Nonlinear differential equations in abstract spaces Keywords:existence and uniqueness theorems; deformations of an elastic beam; Leray-Schauder continuation theorem PDF BibTeX XML Cite \textit{C. P. Gupta}, Appl. Anal. 26, No. 4, 289--304 (1988; Zbl 0611.34015) Full Text: DOI References: [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.