Results 1 to 10 of about 1,211,085 (119)

FUCIK SPECTRUM FOR A THIRD ORDER BOUNDARY VALUE PROBLEM [PDF]

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
doaj   +6 more sources

THE FUCIK SPECTRUM FOR A COUPLED SYSTEM WITH NO CHANGING SIGN SOLUTIONS [PDF]

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
doaj   +6 more sources

The Fucik Spectrum of General Sturm–Liouville Problems [PDF]

Journal of Differential Equations, 2000
The author studies the boundary value problem consisting of the Sturm-Liouville-like equation \[ -(pu')'+ qu= \alpha u^+ -\beta u^-\text{ on }[0,\pi] \] and a separated real boundary condition such as the Dirichlet boundary condition \(u(0)=0 = u(\pi)\), with \(p \in C^1([0,\pi],\mathbb{R})\), \(p > 0\) on \([0,\pi]\), \(q\in C^0([0,\pi],\mathbb{R})\),
Bryan Rynne
exaly   +4 more sources

A generalized Fucik type eigenvalue problem for p-Laplacian [PDF]

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
doaj   +5 more sources

Fucik spectrum with weights and existence of solutions for nonlinear elliptic equations with nonlinear boundary conditions [PDF]

Electronic Journal of Differential Equations, 2023
We consider the boundary value problem $$\displaylines{ - \Delta u + c(x) u = \alpha m(x) u^+ - \beta m(x) u^- +f(x,u), \quad x \in \Omega, \cr \frac{\partial u}{\partial \eta} + \sigma (x) u =\alpha \rho (x) u^+- \beta \rho (x) u^- +g(x,u), \quad x \in \partial \Omega, }$$ where \((\alpha, \beta) \in \mathbb{R}^2\), \(c, m \in L^\infty (\Omega ...
Nsoki Mavinga, Quinn A. Morris, Stephen B. Robinson   +2 more
doaj   +4 more sources

Fucik Spectrum, Sign-Changing, and Multiple Solutions for Semilinear Elliptic Boundary Value Problems with Resonance at Infinity [PDF]

Journal of Mathematical Analysis and Applications, 2000
The Fučik spectrum and the theory of ordinary differential operators in Banach spaces are used to study semilinear elliptic boundary-value problems with jumping nonlinearities with zero or infinities, especially resonances of infinity. Results for the existence of multiple solutions and sign-changing solutions are obtained.
E N Dancer
exaly   +4 more sources

Sign-Changing Solutions for Nonlinear Elliptic Problems Depending on Parameters

International Journal of Differential Equations, 2010
The study of multiple solutions for quasilinear elliptic problems under Dirichlet or nonlinear Neumann type boundary conditions has received much attention over the last decades.
Siegfried Carl, Dumitru Motreanu
doaj   +7 more sources

Fucik spectrum for operators with rapidly increasing weight and applications

Electronic Journal of Differential Equations
In this article, we study the Fucik spectrum for operators with rapidly increasing weight, which is defined as a set \(\Sigma\) comprising those  \((\alpha, \beta) \in \mathbb{R}^2\) such that$$\displaylines{L u:=-\Delta u-\frac{1}{2}(x \cdot \nabla u)=\alpha u^{+}-\beta u^{-}, \quad\text{in } \mathbb{R}^N,\cru\in X,}$$ has a non-trivial solution \(u\),
Jinzi Bai, Fei Fang
exaly   +3 more sources

On the Fučík spectrum of the Laplacian on a torus [PDF]

Journal of Functional Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Massa, B. Ruf
openaire   +3 more sources

New properties of the Fučík spectrum [PDF]

Comptes Rendus. Mathématique, 2013
In this Note we present some results on the Fučík spectrum for the Laplace operator, that give new information on its structure. In particular, these results show that, if Ω is a bounded domain of R
R. Molle, PASSASEO, Donato
openaire   +4 more sources