Results 51 to 60 of about 1,211,113 (146)
Fučı́k Spectrum for a Third Order Equation
Journal of Differential Equations, 1996 The Fučík spectrum of the third order boundary value problem \[ y''' + \mu y^+ - \nu y^- = 0,\;y(0) = y'(0) = y(1) = 0 \tag{1} \] is investigated, i.e. the set of all \((\mu, \nu) \in \mathbb{R}^2\) where (1) has a nontrivial solution \(y\). The eigenvalues of (1) are the numbers \(\lambda\) for which \((\lambda, \lambda)\) belongs to the Fučík ...
GAUDENZI, Marcellino, PATRICH HABETS
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Numerical solutions and bifurcation analysis of the Fucik spectrum [PDF]
, 2016 We use a specialized Newton's method to approximate the Fucik spectrum solution curves of the negative Laplacian on a real Hilbert space. We include results for the two parameter differential equation.
McHenry, M.W.
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Discrete analogue of Fucik spectrum of the Laplacian [PDF]
, 1999 The discrete analog of the Fucik spectrum for elliptic equations, namely M-matrices, is shown to have properties analogous to the continuum. In particular, the Fucik spectrum of a M-matrix contains a continuous and decreasing curve which is symmetric ...
Espinoza, Pedro C.
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On the Fučík spectrum with indefinite weights
Differential and Integral Equations, 2001 19 pages, to appear in Diff.
Gossez, Jean-Pierre, Alif, Mohssine
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The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition
Nonlinear Analysis, 2014 Boundary value problem of the form x''=-μx++λx-, αx(0)+(1-α)x'(0)=0, ∫01 x(s)ds=0 is considered, where μ,λ∈ R and α∈ [0,1]. The explicit formulas for the spectrum of this problem are given and the spectra for some α values are constructed.
Natalija Sergejeva
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A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators
Advances in Nonlinear Analysis, 2015 We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka +2 more
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On the first curve of the Fučik spectrum of an elliptic operator
Differential and Integral Equations, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gossez, Jean-Pierre, De Figueiredo, D.
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Resonance with respect to the Fučík spectrum
Electronic Journal of Differential Equations, 2000 The authors study the existence of solutions for nonlinear equations of the form \(Lu = \alpha u^{+} - \beta u^{-} + f(\cdot,u),\) where \(L: \operatorname {dom} L \subset L^{2}(\Omega,\mathbb R) \rightarrow L^{2}(\Omega,\mathbb R)\) is a selfadjoint linear operator, \(\Omega\) is a bounded open subset of \(\mathbb R^{N}\), and the equation \(Lu ...
A. K. Ben-Naoum, C. Fabry, D. Smets
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A global characterization of the Fučík spectrum for a system of ordinary differential equations
Journal of Differential Equations, 2007 The authors consider the Fučik spectrum for a system of second order ordinary differential equations with Dirichlet or Neumann boundary values. By the implicit function theorem, they give a local description of the Fučik spectrum and then they deduce a global one.
Eugenio Massa, Bernhard Ruf
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On the Fucik Spectrum for Equations with Symmetries
, 2011 An overview over some aspects of the Fucik spectrum are given, in particular in the situation when the problem is invariant under some compact group action. Some recent results concerning the complexity of the Fucik specturm are discussed, and some open problems are studied.
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