Results 31 to 40 of about 1,211,085 (119)
On Fučík type spectrum for problem with integral nonlocal boundary condition
Nonlinear Analysis, 2019 The Fučík equation x' '= -μ x+λ x- with two types of nonlocal boundary value conditions are considered. The Fučík type spectrum for both problems are constructed. The visualization of the spectrum for some values of parameter γ is provided.
Natalija Sergejeva, Sigita Pečiulytė
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Fučik Spectrum for the Second Order BVP with Nonlocal Boundary Condition
Nonlinear Analysis, 2007 We construct the Fučik spectrum for some second order boundary value problem with nonlocal boundary condition. This spectrum differs essentially from the known Fučik spectra.
N. Sergejeva
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On the Fučík type problem with integral nonlocal boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The Fučík equation $x''=-\mu x^++\lambda x^-$ with integral nonlocal boundary value conditions $x(0)=x(1)=\gamma\int_0^1 x(s)ds$ is considered where $\mu, \lambda, \gamma\in\mathbb{R}$. The Fučík spectrum for this problem is constructed.
Natalija Sergejeva
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On the Fučí k spectrum for the $p$-Laplacian
Differential and Integral Equations, 2001 The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
MICHELETTI, ANNA MARIA, A. PISTOIA
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ESPECTRO DE FUČIK PARA EL PROBLEMA DE VALOR FRONTERA STURM-LIOUVILLE
Pesquimat, 2014 In this article, we consider the Fučik equation in Ω = < 0, π > with Sturm-Liouville boundary conditions. We obtain its Fučik spectrum also the complete description and properties of the curves on it.
Santiago César Rojas Romero
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On nonlinear fučik type spectra
Mathematical Modelling and Analysis, 2008 Eigenvalue problems of the form x″ = -λf(x+) + μg(x-), x(0) = 0, x(1) = 0 are considered, where x+ and x− are respectively the positive and the negative parts of x. We are looking for (λ, μ) such that the problem has a nontrivial solution.
Armands Gritsans, Felix Sadyrbaev
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Boundary Value Problems for a Super‐Sublinear Asymmetric Oscillator: The Exact Number of Solutions
International Journal of Mathematics and Mathematical Sciences, Volume 2013, Issue 1, 2013., 2013 Properties of asymmetric oscillator described by the equation x′′=−λ(x+)p+μ(x−)q (i), where p ≥ 1 and 0 < q ≤ 1, are studied. A set of (λ, μ) such that the problem (i), x(0) = 0 = x(1) (ii), and |x′(0)| = α (iii) have a nontrivial solution, is called α‐spectrum. We give full description of α‐spectra in terms of solution sets and solution surfaces.
Armands Gritsans +2 more
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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
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, 2017 In this article we study the behavior as $p \nearrow+\infty$ of the Fucik spectrum for $p$-Laplace operator with zero Dirichlet boundary conditions in a bounded domain $Ω\subset \mathbb{R}^n$. We characterize the limit equation, and we provide a description of the limit spectrum.
da Silva, Joao V. +2 more
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Fučík spectra for vector equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Let $L:\hbox{dom} L\subset L^2(\Omega;R^N)\rightarrow L^2(\Omega;R^N)$ be a linear operator, $\Omega$ being open and bounded in $R^M$. The aim of this paper is to study the Fu\v c\'\i k spectrum for vector problems of the form $Lu=\alpha Au^+ -\beta Au^-$
Christian Fabry
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