OSCILLATION OF THE SOLUTIONS OF SECOND ORDER RETARDED IMPULSIVE DIFFERENTIAL EQUATIONS

P.S. Simeonov

Title	OSCILLATION OF THE SOLUTIONS OF SECOND ORDER RETARDED IMPULSIVE DIFFERENTIAL EQUATIONS
Publication Type	Journal Article
Year of Publication	2005
Authors	Simeonov, PS
Volume	9
Issue	3
Start Page	353
Pagination	16
Date Published	2005
ISSN	1083-2564
AMS	34A37
Abstract	The second order retarded impulsive differential equation of the type $${(r(t)x′(t))′ + F(t, x(τ_1(t)), · · · , x(τ_m(t))) = 0, \ \ \ t \ne t_k, }$$ $${∆(r(t_k)x ′ (t_k)) + F_k(x(τ_1(t_k)), · · · , x(τm(tk))) = 0 \ \ \ \ \ \ (E) }$$ is considered in the case, when ${ \int^{\infty} \, \frac{dt}{r(t)} = +∞.}$ Various oscillation criteria for equation ${(E)}$ are obtained, which extend some oscillation results for equations without impulses.
URL	http://www.acadsol.eu/en/articles/9/3/6.pdf
Refereed Designation	Refereed
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