Lyapunov-type inequalities for nonlinear impulsive systems with applications

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10.14232:ejqtde.2016.1.27.pdf

Date

2016

Author

Kayar, Zeynep
Zafer, Agacik

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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.

Subject Keywords

Differential equation, Nonlinear, Impulse, Lyapunov inequality, Weakly oscillatory, Disconjugate

URI

https://hdl.handle.net/11511/51415

Journal

Electronic Journal of Qualitative Theory of Differential Equations

DOI

https://doi.org/10.14232/ejqtde.2016.1.27

Collections

Department of Mathematics, Article

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.