Sturm‐Picone comparison theorems for nonlinear impulsive differential equations with discontinuous solutions
Copyright policy )Sturm‐Picone comparison theorems for nonlinear impulsive differential equations with discontinuous solutions
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.
- Yüzüncü Yıl University Turkey
- University of Duhok Iraq
Leighton theorem, Sturm comparison theorem, regular, nonlinear, Nonlinear ordinary differential equations and systems, Ordinary differential equations with impulses, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, impulse, singular
Leighton theorem, Sturm comparison theorem, regular, nonlinear, Nonlinear ordinary differential equations and systems, Ordinary differential equations with impulses, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, impulse, singular
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