scholarly journals Existence and Multiple Solutions for Nonlinear Second-Order Discrete Problems with Minimum and Maximum

2008 ◽  
Vol 2008 (1) ◽  
pp. 586020 ◽  
Author(s):  
Ruyun Ma ◽  
Chenghua Gao
Keyword(s):  
Multiple Solutions ◽  
Second Order ◽  
Discrete Problems

scholarly journals Multiple Solutions of Second-Order Damped Impulsive Differential Equations with Mixed Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jian Liu ◽  
Lizhao Yan
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Variational Methods ◽  
Multiple Solutions ◽  
Mixed Boundary ◽  
Impulsive Differential Equations ◽  
Mixed Boundary Conditions ◽  
Second Order ◽  
Multiplicity Of Solutions

We use variational methods to investigate the solutions of damped impulsive differential equations with mixed boundary conditions. The conditions for the multiplicity of solutions are established. The main results are also demonstrated with examples.

Multiple solutions for a Dirichlet quasilinear system containing a parameter

2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Shapour Heidarkhani ◽  
Johnny Henderson
Keyword(s):  
Differential Equations ◽  
Critical Points ◽  
Multiple Solutions ◽  
Second Order ◽  
Quasilinear System ◽  
Compact Interval ◽  
Three Solutions ◽  
Second Order Differential Equations

Abstract.In this paper, we apply two theorems from triple critical points theory to establish the existence of at least three solutions for the quasilinear second order differential equations on a compact interval

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