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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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On some fučík type problem with cubic nonlinearity [PDF]
Mathematical Modelling and Analysis, 2011 We study the second order Fučík type problem with cubic nonlinearity and construct the Fučík spectrum for this problem. The spectrum obtained under normalization condition (otherwise problem may have continuous spectra) structurally is similar to Fučík ...
N. Sergejeva
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On the Fučík type problem with integral nonlocal boundary conditions [PDF]
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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Fučík spectra for vector equations [PDF]
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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On Fučik spectra for third order equations
Mathematical Modelling and Analysis, 2007 We construct the Fučik spectrum for some third order nonlinear boundary value problems. This spectrum differs essentially from the known Fučik spectra.
Natalija Sergejeva
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FUCIK SPECTRUM FOR A THIRD ORDER BOUNDARY VALUE PROBLEM
Pesquimat, 2014 In this work, the Fucik Spectrum for the boundary value problem is studied, and the Fucik curves contained in this spectrum are described.
Santiago César Rojas Romero
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THE FUCIK SPECTRUM FOR A COUPLED SYSTEM WITH NO CHANGING SIGN SOLUTIONS
Pesquimat, 2014 In this work we study the Fucik spectrum for the following system of secondorder ordinary differential equations where Bu = 0 represents the Dirichlet or Newmann type boundary conditions.
Santiago César Rojas Romero
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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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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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