Journal of Applied Mathematics and Stochastic Analysis 
Volume 14 (2001), Issue 3, Pages 309-316
doi:10.1155/S1048953301000272

Nonoscillation of the solutions of impulsive differential equations of third order

Margarita Boneva Dimitrova

 Technical University, Department of Mathematics, Sliven 8800, Bulgaria
Received 1 June 1998; Revised 1 November 1999

Abstract

Necessary and sufficient conditions are found for existence of at least one bounded nonoscillatory solution of a class of impulsive differential equations of third order and fixed moments of impulse effect. Some asymptotic properties of the nonoscillating solutions are investigated.