scholarly journals Existence of Solution for Impulsive Differential Equations with Nonlinear Derivative Dependence via Variational Methods

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Lizhao Yan ◽  
Jian Liu ◽  
Zhiguo Luo
Keyword(s):  
Differential Equations ◽  
Variational Methods ◽  
Iterative Methods ◽  
Existence Of Solutions ◽  
Impulsive Differential Equations ◽  
Existence Of Solution

We use variational methods and iterative methods to investigate the solutions of impulsive differential equations with nonlinear derivative dependence. The conditions for the existence of solutions are established. The main results are also demonstrated with examples.

scholarly journals Variational Methods for an Impulsive Fractional Differential Equations with Derivative Term

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 880
Author(s):  
Yulin Zhao ◽  
Jiafa Xu ◽  
Haibo Chen
Keyword(s):  
Differential Equations ◽  
Variational Methods ◽  
Iterative Methods ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Technical Approach ◽  
Impulsive Fractional Differential Equations ◽  
Derivative Term ◽  
Fractional Differential

This paper is devoted to studying the existence of solutions to a class of impulsive fractional differential equations with derivative dependence. The used technical approach is based on variational methods and iterative methods. In addition, an example is given to demonstrate the main results.

Existence of Solution for Second Order Impulsive Differential Equations with Mixed Boundary Conditions

2013 ◽  
Vol 411-414 ◽  
pp. 1396-1399
Author(s):  
Li Zhao Yan ◽  
Jian Liu
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Variational Methods ◽  
Mixed Boundary ◽  
Impulsive Differential Equations ◽  
Mixed Boundary Conditions ◽  
Existence Of Solution ◽  
Second Order

In this paper, we use variational methods to investigate the solutions of impulsive differential equations with mixed boundary conditions. The conditions for the existence of solution are established. The main results are also demonstrated with examples.

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.

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