Multiplicity results using bifurcation techniques for a class of fourth-order -point boundary value problems.
Liu, Yansheng, O'Regan, Donal (2009)
Boundary Value Problems [electronic only]
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Liu, Yansheng, O'Regan, Donal (2009)
Boundary Value Problems [electronic only]
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Zhang, Xingqiu, Sun, Jingxian (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Xu, Huiye (2011)
Discrete Dynamics in Nature and Society
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Kong, Qingkai, Wang, Min (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ziyatkhan Aliyev (2010)
Open Mathematics
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We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.
He, Tieshan, Yang, Wei, Yang, Fengjian (2010)
Discrete Dynamics in Nature and Society
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Graef, J.R., Kong, Lingju, Kong, Qingkai, Wong, James S.W. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Gao, Jie, Sun, Dongmei, Zhang, Meirong (2010)
Advances in Difference Equations [electronic only]
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Karna, Basant K., Kaufmann, Eric R., Nobles, Jason (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yujun Cui (2013)
Applications of Mathematics
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Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, existence results of nontrivial solutions for singular Sturm-Liouville problems are given. The nonlinearity in the equations can take negative values and may be unbounded from below.