Browsing by Subject "multiple solutions"

Now showing 1 - 3 of 3

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 ,
Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator
(Wydawnictwa AGH, 2020) Amster, Pablo; Kuna, Mariel Paula; Santos, Dionicio Pastor
We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a $\varphi$-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree. The results extend and improve known results for analogous problems with discrete $p$-Laplacian as well as those for boundary value problems on time scales.
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.