Results 41 to 50 of about 1,211,830 (116)
Nonlinear problems with asymmetric principal part
Mathematical Modelling and Analysis, 2012 The boundary value problem is considered provided that f : [0, +∞) → [0, +∞) is Lipschitzian and is continuous and Lipschitzian in xand x′. We assume that f is bounded by two linear functions kx and lx, where k > l > 0, and h is bounded.
Armands Gritsans, Felix Sadyrbaev
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Nonlinear spectra: The Neumann problem
Mathematical Modelling and Analysis, 2009 Eigenvalue problems of the form x” = −λf(x+ ) + μg(x− ), x‘(a) = 0, x' (b) = 0 are considered. We are looking for (λ,μ) such that the problem (i), (ii) has a nontrivial solution.
Armands Gritsans, Felix Sadyrbaev
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Fučík spectrum of Laplace operator with integral boundary conditions
, 2020 Tato práce se zabývá úlohou na vlastní čísla a Fučíkovým spektrem radiálně symetrického Laplaceova operátoru s nelokální (integrální) okrajovou podmínkou v obecné dimenzi $ n $.
Hamáček, Martin
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The Fučík Spectrum for One Dimensional Kreĭn–Feller Operators
, 2023 In this article we study the Fučík spectrum for one dimensional Kreĭn–Feller operators, also known as measure-geometric Laplacians. We show the existence of a sequence of continuous and monotonic curves, and hyperbolic curves restricting their location ...
Scarola, Cristian +5 more
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Electronic Journal of Differential Equations, 2018 In this article, we study the Fucik spectrum of the p-fractional Laplace operator with nonlocal normal derivative conditions which is defined as the set of all $(a,b)\in\mathbb{R}^2$ such that $$\displaylines{ \Lambda_{n,p}(1-\alpha)(-\Delta)_{p ...
Divya Goel +2 more
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On solvability of boundary value problem for asymmetric differential equation depending on x ′
Mathematical Modelling and Analysis, 2013 We state the conditions of geometrical nature which guarantee the existence of a solution to the boundary value problem x ′′ + 2δx ′ + λf (x + ) − µg(x −) = h(t, x, x ′ ), x(0) = 0 = x(1) with a damping term 2δx ′ and nonnegative parameters λ, µ ...
Armands Gritsans, Felix Sadyrbaev
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The Fucik spectra for multi-point boundary-value problems
Electronic Journal of Differential Equations, 2010 We study the structure of the Fucik spectra for the linear multi-point differential operators. We introduce a variational approach in order to obtain a robust and global algorithm which is suitable for the exploration of unknown Fucik spectrum ...
Gabriela Holubova, Petr Necesal
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Potential Landesman-Lazer type conditions and the Fučík spectrum [PDF]
, 2005 We prove the existence of solutions to the nonlinear problem u''(x) + λ+u+(x) = λ_u-(x) + g(x, u(x)) = ƒ(x), x ∈ (0, π), u(0) = u(π) = 0 where the point [λ+, λ_] is a point of the Fučík spectrum and the nonlinearity g(x, u(x)) satisfies a ...
Tomiczek, Petr
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On the Fučík spectrum for elliptic systems
, 2006 We propose an extension of the concept of Fučík spectrum to the case of coupled systems of two elliptic equations, we study its structure and some applications.
Massa, Eugenio, Ruf, Bernhard
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On the first curve of the Fučík spectrum for elliptic operators
, 2014 In this Note we present a new variational characterization of the first nontrivial curve of the Fučík spectrum for elliptic operators with Dirichlet or Neumann boundary conditions.
Molle, R +5 more
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