The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition

Boundary value problem of the form x''=-μx++λx-, αx(0)+(1-α)x'(0)=0, ∫01 x(s)ds=0 is considered, where μ,λ∈ R and α∈ [0,1]. The explicit formulas for the spectrum of this problem are given and the spectra for some α values are constructed. Special attention is paid to the spectrum behavior at the points close to the coordinate origin

Peipsimaa vanausulised läbi aegade – rahvakultuur ja elu

https://www.ester.ee/record=b5161190*es

On Solvability of the Damped Fučík Type Problem with Integral Condition

The solvability results are established for the boundary value problem with a damping term , x(0) = 0, where x + = max{x, 0}, x - = max{-x, 0}, h is a bounded nonlinearity, µ, λ real parameters. The existence results are based of the knowledge of the Fučík type spectrum for the problem with h ≡

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. The visualization of the spectrum for some values of $\gamma$ are provided

On nonlinear spectra for some nonlocal boundary value problems

We consider some second order nonlinear differential equation with nonlocal (integral) condition. This spectrum differs essentially from the known ones

On some fučík type problem with cubic nonlinearity

We study the second order Fučík type problem with cubic nonlinearity  and construct the Fučík spectrum for this problem. The spectrum obtained under normalization condition (otherwise problem may have continuous spectra) structurally is similar to Fučík spectra for the problem   with the same boundary conditions

Moeetendus "OmaMood"

http://tartu.ester.ee/record=b2613932~S1*es

The regions of solvability for some three point problem

The solvability results are established for the boundary value problem , where x + = max{x, 0}, x - = max{-x, 0}, h is a bounded nonlinearity. The existence results are based of the knowledge of the spectrum for the problem with h ≡ 0

On some problems with nonlocal integral condition

We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems. First published online: 09 Jun 201