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The nonlinear versions of Sturm-Picone comparison theorem as well as Leighton's variational lemma and Leighton's theorem for regular and singular nonlinear impulsive differential equations with discontinuous solutions having fixed moments… Click to show full abstract
The nonlinear versions of Sturm-Picone comparison theorem as well as Leighton's variational lemma and Leighton's theorem for regular and singular nonlinear impulsive differential equations with discontinuous solutions having fixed moments of impulse actions are established. Although discontinuity of the solutions causes some difficulties, these new comparison theorems cover the old ones where impulse effects are dropped.
Keywords:
sturm picone;
nonlinear impulsive;
impulsive differential;
differential equations;
picone comparison;
comparison
Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
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Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!