Lyapunov-type inequalities for nonlinear impulsive systems with applications

2016
Kayar, Zeynep
Zafer, Agacik
We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations. By applying these inequalities, sufficient conditions are derived for the disconjugacy of solutions and the boundedness of weakly oscillatory solutions.

Citation Formats
Z. Kayar and A. Zafer, “Lyapunov-type inequalities for nonlinear impulsive systems with applications,” Electronic Journal of Qualitative Theory of Differential Equations, no. 27, pp. 1–13, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51415.