Abstract | ||
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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 |
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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 Bai | 1 | 379 | 36.34 |
Juan J. Nieto | 2 | 559 | 81.45 |