Title
Variational approach to differential equations with not instantaneous impulses.
Abstract
In this note we introduce the concept of a weak solution for a linear equation with not instantaneous impulses. We use the classical Lax–Milgram Theorem to reveal the variational structure of the problem and get the existence and uniqueness of weak solutions as critical points. This will allow us in the future to deal with the corresponding nonlinear problems.
Year
DOI
Venue
2017
10.1016/j.aml.2017.02.019
Applied Mathematics Letters
Keywords
Field
DocType
Non-instantaneous impulse,Variational method,Lax–Milgram theorem,Critical point,Impulsive differential equation
Linear equation,Uniqueness,Differential equation,Mathematical optimization,Nonlinear system,Babuška–Lax–Milgram theorem,Variational method,Mathematical analysis,Weak solution,Lions–Lax–Milgram theorem,Mathematics
Journal
Volume
ISSN
Citations 
73
0893-9659
4
PageRank 
References 
Authors
0.62
3
2
Name
Order
Citations
PageRank
Liang Bai137936.34
Juan J. Nieto255981.45