Results 21 to 30 of about 1,211,830 (116)
Variational Methods for NLEV Approximation Near a Bifurcation Point
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We review some more and less recent results concerning bounds on nonlinear eigenvalues (NLEV) for gradient operators. In particular, we discuss the asymptotic behaviour of NLEV (as the norm of the eigenvector tends to zero) in bifurcation problems from the line of trivial solutions, considering perturbations of linear self‐adjoint operators in a ...
Raffaele Chiappinelli, Dorothy Wallace
wiley +1 more source
Precise homogenization rates for the Fučík spectrum [PDF]
, 2017 Given a bounded domain Ω in RN, N≥ 1 we study the homogenization of the weighted Fučík spectrum with Dirichlet boundary conditions. In the case of periodic weight functions, precise asymptotic rates of the curves are obtained.Fil: Salort, Ariel Martin ...
Ariel M. Salort, Salort, Ariel Martin
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Editorial Note: Impact of COVID-19 on Spectrum operations
, 2020 To support our authors, reviewers and editors during the COVID-19 pandemic, the Spectrum Editorial Board has relaxed its timelines for the publication of this most recent issue (Issue 5). We are working with our authors on their Issue 5 submissions,
Editorial Board, Spectrum
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On some problems with nonlocal integral condition
Mathematical Modelling and Analysis, 2010 We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
doaj +1 more source
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Journal of Function Spaces, Volume 7, Issue 2, Page 121-152, 2009., 2009 We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence.
Dag Lukkassen +4 more
wiley +1 more source
Various Half‐Eigenvalues of Scalar p‐Laplacian with Indefinite Integrable Weights
Abstract and Applied Analysis, Volume 2009, Issue 1, 2009., 2009 Consider the half‐eigenvalue problem (ϕp(x′))′+λa(t)ϕp(x+)−λb(t)ϕp(x−)=0 a.e. t ∈ [0, 1], where 1 < p < ∞, ϕp(x) = |x|p−2x, x±(⋅) = max {±x(⋅), 0} for x ∈ 𝒞0 : = C([0, 1], ℝ), and a(t) and b(t) are indefinite integrable weights in the Lebesgue space ℒγ : = Lγ([0, 1], ℝ), 1 ≤ γ ≤ ∞.
Wei Li, Ping Yan, Pavel Drabek
wiley +1 more source
A generalized Fucik type eigenvalue problem for p-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we study the generalized Fucik type eigenvalue for the boundary value problem of one dimensional $p-$Laplace type differential equations \[ \left\{\begin{array}{lll} - (\varphi( u')) ' = \psi(u), \quad -T< x < T; \\ \quad u(-T)=0, \quad u ...
Yuanji Cheng
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On nonlinear spectra for some nonlocal boundary value problems
Mathematical Modelling and Analysis, 2008 We consider a second order nonlinear differential equation with nonlocal (integral) condition. The spectrum of it differs essentially from the known ones.
Natalija Sergejeva
doaj +1 more source
Periodic solutions of nonlinear vibrating beams
Abstract and Applied Analysis, Volume 2003, Issue 14, Page 823-841, 2003., 2003 The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time‐independent perturbation in case the period is not prescribed. Since the spectrum of the linear part varies with the period, the solvability of the equation depends crucially on the period which can be chosen as a free ...
J. Berkovits, H. Leinfelder, V. Mustonen
wiley +1 more source
Asymptotic behavior of the curves in the Fučík spectrum [PDF]
, 2017 In this work, we study the asymptotic behavior of the curves of the Fučík spectrum for weighted second-order linear ordinary differential equations. We prove a Weyl type asymptotic behavior of the hyperbolic type curves in the spectrum in terms of some ...
Juan Pablo Pinasco +3 more
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