Results 11 to 20 of about 1,214,101 (108)
Fučik Spectrum for the Second Order BVP with Nonlocal Boundary Condition
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
doaj +2 more sources
ESPECTRO DE FUČIK PARA EL PROBLEMA DE VALOR FRONTERA STURM-LIOUVILLE [PDF]
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
doaj +4 more sources
On nonlinear fučik type spectra [PDF]
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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First curve of Fucik spectrum for the p-fractional Laplacian operator with nonlocal normal boundary conditions [PDF]
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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Discrete analogue of Fučik spectrum of the Laplacian [PDF]
The discrete analog of the Fučik spectrum for elliptic equations, namely M-matrices, is shown to have properties analogous to the continuum. In particular, the Fučik spectrum of a M-matrix contains a continuous and decreasing curve which is symmetric ...
Pedro C. Espinoza, Espinoza, Pedro C.
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THE FUCIK SPECTRUM FOR A COUPLED SYSTEM WITH NO CHANGING SIGN SOLUTIONS
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 +1 more source
On the Fučík type problem with integral nonlocal boundary conditions
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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Editorial Note: Impact of COVID-19 on Spectrum operations
To support our authors, reviewers and editors during the COVID-19 pandemic, the Spectrum Editorial Board has relaxed its timelines for the publication of this most recent issue (Issue 5). We are working with our authors on their Issue 5 submissions,
Editorial Board, Spectrum
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Boundary Value Problems for a Super‐Sublinear Asymmetric Oscillator: The Exact Number of Solutions
Properties of asymmetric oscillator described by the equation x′′=−λ(x+)p+μ(x−)q (i), where p ≥ 1 and 0 < q ≤ 1, are studied. A set of (λ, μ) such that the problem (i), x(0) = 0 = x(1) (ii), and |x′(0)| = α (iii) have a nontrivial solution, is called α‐spectrum. We give full description of α‐spectra in terms of solution sets and solution surfaces.
Armands Gritsans +2 more
wiley +1 more source
Variational Methods for NLEV Approximation Near a Bifurcation Point
We review some more and less recent results concerning bounds on nonlinear eigenvalues (NLEV) for gradient operators. In particular, we discuss the asymptotic behaviour of NLEV (as the norm of the eigenvector tends to zero) in bifurcation problems from the line of trivial solutions, considering perturbations of linear self‐adjoint operators in a ...
Raffaele Chiappinelli, Dorothy Wallace
wiley +1 more source

