scholarly journals Weak Nontrivial Solutions to Discrete Nonlinear Two-Point Boundary-Value Problems of Kirchhoff Type

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Rodrigue SANOU ◽  
◽  
Idrissa IBRANGO ◽  
Blaise KONÉ ◽  
◽  
...  
Keyword(s):  
Variational Principle ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Existence Results ◽  
Mountain Pass ◽  
Point Boundary ◽  
Nontrivial Solutions ◽  
Kirchhoff Type

"We prove the existence of at least one weak nontrivial solutions for a discrete nonlinear two-point boundary-value problems of Kirchhoff type. The main existence results are obtained by using the technique of geometric mountain pass and the Ekelands variational principle."

Solutions of second order multi-point boundary value problems

2008 ◽  
Vol 145 (2) ◽  
pp. 489-510 ◽  
Author(s):  
JOHN R. GRAEF ◽  
LINGJU KONG
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problems ◽  
Fixed Point Index ◽  
Boundary Value ◽  
Second Order ◽  
Point Boundary ◽  
Nontrivial Solutions ◽  
Point Index ◽  
Linear Integral ◽  
The Relationship

AbstractWe consider classes of second order boundary value problems with a nonlinearity f(t, x) in the equations and subject to a multi-point boundary condition. Criteria are established for the existence of nontrivial solutions, positive solutions, and negative solutions of the problems under consideration. The symmetry of solutions is also studied. Conditions are determined by the relationship between the behavior of the quotient f(t, x)/x for x near 0 and ∞ and the largest positive eigenvalue of a related linear integral operator. Our analysis mainly relies on the topological degree and fixed point index theories.

scholarly journals Existence results for a sublinear second order Dirichlet boundary value problem on the half-line

2020 ◽  
Vol 40 (5) ◽  
pp. 537-548
Author(s):  
Dahmane Bouafia ◽  
Toufik Moussaoui
Keyword(s):  
Variational Principle ◽  
Boundary Value Problem ◽  
Dirichlet Boundary ◽  
Nonlinear Term ◽  
Boundary Value ◽  
Point Theory ◽  
Existence Results ◽  
Half Line ◽  
Dirichlet Boundary Value Problem ◽  
Nontrivial Solutions

In this paper we study the existence of nontrivial solutions for a boundary value problem on the half-line, where the nonlinear term is sublinear, by using Ekeland's variational principle and critical point theory.

A variational approach to perturbed three-point boundary value problems of Kirchhoff-type

2016 ◽  
Vol 62 (3) ◽  
pp. 397-412 ◽  
Author(s):  
Ghasem A. Afrouzi ◽  
Giuseppe Caristi ◽  
David Barilla ◽  
Shahin Moradi
Keyword(s):  
Boundary Value Problems ◽  
Variational Approach ◽  
Boundary Value ◽  
Point Boundary ◽  
Kirchhoff Type

Multiplicity Results for Kirchhoff-Type Three-Point Boundary Value Problems

2018 ◽  
Vol 156 (1) ◽  
pp. 133-157
Author(s):  
Shapour Heidarkhani ◽  
Massimiliano Ferrara ◽  
Giuseppe Caristi ◽  
Amjad Salari
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary ◽  
Multiplicity Results ◽  
Kirchhoff Type
Sign in / Sign up

Export Citation Format

Share Document