Results 81 to 90 of about 1,211,085 (119)

ON A PSEUDO FUCIK SPECTRUM FOR STRONGLY NONLINEAR 2ND-ORDER ODES AND AN EXISTENCE RESULT

, 1994
We study here the existence of solutions to the nonlinear Dirichlet problem (P): (phi(u'))' + f(t, u) = q(t), a.e. for t is an element of [a, b], u(a)=u(b)=0, where phi is an increasing odd homeomorphism of R, f:[a, b]XR --> R satisfies the Caratheodory ...
GARCIAHUIDOBRO, M, MANASEVICH, R, ZANOLIN, F   +2 more
core   +1 more source

A Landesman-Lazer condition for the boundary-value problem -u''=a u^+ - b u^- +g(u) with periodic boundary conditions

Electronic Journal of Differential Equations, 2013
In this article we prove the existence of solutions for the boundary-value problem $$displaylines{
Quinn A. Morris, Stephen B. Robinson
doaj  

Behavior of forced asymmetric oscillators at resonance

Electronic Journal of Differential Equations, 2000
This article collects recent results concerning the behavior at resonance of forced oscillators driven by an asymmetric restoring force, with or without damping.
C. Fabry
doaj  

Dirichlet boundary value problem for a system of n second order asymptotically asymmetric differential equations

Electronic Journal of Differential Equations, 2018
We consider systems of the form $$\displaylines{ x_1''+ g_1(x_1) = h_1(x_1,x_2,\ldots,x_n),\cr x_2''+ g_2(x_2) = h_2(x_1,x_2,\ldots,x_n),\cr \cdots \cr x_n''+ g_n(x_n) = h_n(x_1,x_2,\ldots,x_n) }$$ along with the boundary conditions $$ x_1(0 ...
Armands Gritsans, Felix Sadyrbaev, Inara Yermachenko   +2 more
doaj  

Periodic boundary-value problems and the Dancer-Fučik spectrum under conditions of resonance

Electronic Journal of Differential Equations, 2011
Summary: We prove the existence of solutions to the nonlinear \(2\pi\)-periodic problem \[ \begin{gathered} u''(x)+\mu u^+(x)-\nu u^-(x)+g(x,u(x))=f(x)\,,\quad x\in (0,2\pi)\\ u(0)-u(2\pi) =0 \,, \quad u'(0) - u'(2\pi)=0, \end{gathered} \] where the point \((u,\nu)\) lies in the Dancer-Fučík spectrum, with \[ 0< \frac{4}{9}\mu \leqslant ...
David A. Bliss, James Buerger, Adolfo J. Rumbos   +2 more
openaire   +2 more sources

Resonance problems with respect to the Fučík spectrum of the \(p\)-Laplacian

Electronic Journal of Differential Equations, 2002
Consider a problem, involving the \(p\)-Laplacian, depending on two parameters \(a,b\). The set of points \((a,b)\) for which this problem has a nontrivial solution, is called Fučík spectrum. In this paper the general case when \((a,b)\) is in the above spectrum set is studied.
openaire   +2 more sources

Espectro de Fucik para un sistema acoplado [PDF]

, 2017
Estudia el Espectro de Fucik para un sistema acoplado de ecuaciones diferenciales ordinarias con valores en la frontera, donde λ+, λ−, μ− ∈ R+ ∪{0} , w+ = max{w, 0 } , w− = max{−w, 0 } y Bw = 0 representa las condiciones de frontera tipo Dirichlet o ...
Rojas Romero, Santiago César
core  

On the first curve of the Fucik spectrum of an elliptic operator

, 1994
We obtain a variational characterization of the first nontrivial curve in the Fucik spectrum of the Laplacian. We study the asymptotic behavior of this first curve and exhibit a connection with the antimaximum principle.
Gossez, Jean-Pierre, De Figueiredo, D.
core  

First curve of Fučik spectrum for the \(p\)-fractional Laplacian operator with nonlocal normal boundary conditions

Electronic Journal of Differential Equations, 2018
Summary: In this article, we study the Fučik 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 \[ \Lambda_{n,p}(1-\alpha)(-\Delta)_{p}^{\alpha} u+ |u|^{p-2}u = \frac{\chi_{\Omega_{\epsilon}}}{\epsilon} (a(u^{+})^{p-1}-b(u^{-})^{p-1})\quad ...
Divya Goel, Sarika Goyal, Konijeti Sreenadh   +2 more
openaire   +2 more sources

ON THE 1ST CURVE OF THE FUCIK SPECTRUM OF AN ELLIPTIC OPERATOR

, 2015
We obtain a variational characterization of the first nontrivial curve in the Fucik spectrum of the Laplacian. We study the asymptotic behaviour of this curve and exhibit a connexion with the antimaximum principle.
DEFIGUEIREDO, DG, GOSSEZ, JP
core