Browsing by Subject "critical point theory"

Now showing 1 - 6 of 6

Access status: Open Access ,
Existence of three solutions for impulsive nonlinear fractional boundary value problems
(2017) Heidarkhani, Shapour; Ferrara, Massimiliano; Caristi, Giuseppe; Salari, Amjad
In this work we present new criteria on the existence of three solutions for a class of impulsive nonlinear fractional boundary-value problems depending on two parameters. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results.
Access status: Open Access ,
Existence of three solutions for perturbed nonlinear difference equations
(2014) Heidarkhani, Shapour; Moghadam, Mohsen Khaleghi
Using critical point theory, we study the existence of at least three solutions for perturbed nonlinear difference equations with discrete boundary-value condition depending on two positive parameters.
Access status: Open Access ,
Multiple solutions for systems of multi-point boundary value problems
(2013) Graef, John R.; Heidarkhani, Shapour; Kong, Lingju
In this paper, we establish the existence of at least three solutions of the multi-point boundary value system $\left\{\begin{array}{ll} -(\phi_{p_i}(u'_{i}))'=\lambda F_{u_{i}}(x,u_{1},\ldots,u_{n}),\ t\in(0,1),\\ u_{i}(0)=\sum_{j=1}^m a_ju_i(x_j),\ u_{i}(1)=\sum_{j=1}^m b_ju_i(x_j), \end{array}\right. i=1,\ldots,n.$ The approaches used are based on variational methods and critical point theory.
Access status: Open Access ,
Multiplicity results for an impulsive boundary value problem of p(t)-Kirchhoff type via critical point theory
(2016) Mokhtari, Abdelhak; Moussaoui, Toufik; O'Regan, Donal
In this paper we obtain existence results of $k$ distinct pairs nontrivial solutions for an impulsive boundary value problem of $p(t)$-Kirchhoff type under certain conditions on the parameter $\lambda$.
Access status: Open Access ,
Multiplicity results for perturbed fourth-order Kirchhoff-type problems
(Wydawnictwa AGH, 2017) Tavani, Mohamad Reza Heidari; Afrouzi, Ghasem Alizadeh; Heidarkhani, Shapour
In this paper, we investigate the existence of three generalized solutions for fourth-order Kirchhoff-type problems with a perturbed nonlinear term depending on two real parameters. Our approach is based on variational methods.
Access status: Open Access ,
Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications
(Wydawnictwa AGH, 2021) El Amrouss, Abdelrachid; Hammouti, Omar
Let $n\in\mathbb{N}^{*}$, and $N\geq n$ be an integer. We study the spectrum of discrete linear $2n$-th order eigenvalue problems $\begin{cases}\sum_{k=0}^{n}(-1)^{k}\Delta^{2k}u(t-k) = \lambda u(t) ,\quad & t\in[1, N]_{\mathbb{Z}}, \\ \Delta^{i}u(-(n-1))=\Delta^{i}u(N-(n-1)),\quad & i\in[0, 2n-1]_{\mathbb{Z}},\end{cases}$ where $\lambda$ is a parameter. As an application of this spectrum result, we show the existence of a solution of discrete nonlinear $2n$-th order problems by applying the variational methods and critical point theory.