On the Global Solvability of a Class of Fourth- Order Nonlinear Boundary Value Problems

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dc.contributor.authorElgindi, Mohamed B. M.
dc.contributor.authorWei, Dongming
dc.date.accessioned2016-11-23T08:44:40Z
dc.date.available2016-11-23T08:44:40Z
dc.date.issued2012
dc.description.abstractIn this paper we prove the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of a Hollomon’s power-law plastic beam subject to an axial compression and nonlinear lateral constrains. For certain ranges of the acting axial compression force, the solvability of the equations follows from the monotonicity of the fourth order nonlinear differential operator. Beyond these ranges the monotonicity of the operator is lost. It is shown that, in this case, the global solvability may be generated by the lower order nonlinear terms of the equations for a certain type of constrains.ru_RU
dc.identifier.citationElgindi, M.B.M. and Wei, Dongming; 2012; On the Global Solvability of a Class of Fourth- Order Nonlinear Boundary Value Problems; Mathematics Faculty Publications; http://nur.nu.edu.kz/handle/123456789/1924ru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/1924
dc.language.isoenru_RU
dc.publisherMathematics Faculty Publicationsru_RU
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectGlobal solvabilityru_RU
dc.subjectfourth-order nonlinear boundary value problemsru_RU
dc.subjectmonotone operatorru_RU
dc.subjectLeray-Schauder fixed point theoremru_RU
dc.subjectcoercivityru_RU
dc.titleOn the Global Solvability of a Class of Fourth- Order Nonlinear Boundary Value Problemsru_RU
dc.typeArticleru_RU

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