Existence of positive solutions of a discrete elastic beam equation

DOI10.1155/2010/582919zbMath1188.39008OpenAlexW2022720024WikidataQ58650835 ScholiaQ58650835MaRDI QIDQ965759

Chenghua Gao, Jiemei Li, Ru Yun Ma

Publication date: 26 April 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/233439

zbMATH Keywords

positive solutionsnonlinear boundary value problemsKrein-Rutman theoremglobal bifurcation theoremfourth-order difference equationsdiscrete elastic beam equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (3)

Existence of solutions to nonlinear fourth-order beam equation ⋮ Analysis of the nonlinear structural-acoustic resonant frequencies of a rectangular tube with a flexible end using harmonic balance and homotopy perturbation methods ⋮ Natural frequency analysis of two nonlinear panels coupled with a cavity using the approximate elliptic integral solution and the method of harmonic residual minimization

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