Results 21 to 30 of about 1,211,113 (146)
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 $$\displaylines{ \Lambda_{n,p}(1-\alpha)(-\Delta)_{p ...
Divya Goel +2 more
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The Fucik spectra for multi-point boundary-value problems
Electronic Journal of Differential Equations, 2010 We study the structure of the Fucik spectra for the linear multi-point differential operators. We introduce a variational approach in order to obtain a robust and global algorithm which is suitable for the exploration of unknown Fucik spectrum ...
Gabriela Holubova, Petr Necesal
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Potential Landesman-Lazer type conditions and the Fucik spectrum
Electronic Journal of Differential Equations, 2005 We prove the existence of solutions to the nonlinear problem $$displaylines{ u''(x)+lambda_+ u^+(x)-lambda_- u^-(x)+g(x,u(x))=f(x),,quad xin (0,pi),,cr u(0)=u(pi)=0 } $$ where the point $[lambda_+,lambda_-]$ is a point of the Fucik spectrum and the ...
Petr Tomiczek
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Rocky Mountain Journal of Mathematics, 1995 This article deals with the solvability of the periodic boundary value problem (1) \(u''+ g(u)= h(t)\), \(u(0)- u(T)= u'(0)- u'(T)= 0\), where \(g: \mathbb{R}\to \mathbb{R}\) is a continuous function. It is assumed that there are positive constants \(q_\pm\) and \(Q_\pm\) such that \[ q_\pm\leq \liminf_{s\to \pm \infty} {g(s)\over s}\leq \limsup_{s\to \
HABETS P, OMARI, PIERPAOLO, ZANOLIN F.
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The Fucik spectrum and critical groups [PDF]
Proceedings of the American Mathematical Society, 2001 We compute critical groups of zero for variational functionals arising from semilinear elliptic boundary value problems with jumping nonlinearities when the asymptotic limits of the nonlinearity fall in certain parts of Type (II) regions between curves of the Fucik spectrum.
Perera, Kanishka, Schechter, Martin
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The beginning of the Fucik spectrum for a Steklov problem
Boletim da Sociedade Paranaense de Matemática, 2009 abstract: In this paper, we give some properties of the first nonprincipal eigenvalue for an asymmetric Steklov problem with weights, and we study the Fucik spectrum.
Abdellah Zerouali +3 more
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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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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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Basisness of Fucik eigenfunctions for the Dirichlet Laplacian [PDF]
Electronic Journal of Differential Equations, 2022 We provide improved sufficient assumptions on sequences of Fucik eigenvaluesof the one-dimensional Dirichlet Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in \(L^2(0,\pi)\) .
Falko Baustian, Vladimir Bobkov
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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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