Abstract
Oscillation criteria obtained by Kusano and Onose (1973) and by Belohorec (1969) are extended to second-order sublinear impulsive differential equations of Emden-Fowler type: x(t)+p(t)|x(τ(t))|α-1x(τ(t))=0 , t≠θk; Δx'(t)|t=θk+qk|x(τ(θk))|α-1x(τ(θk))=0; Δx(t)|t=θk=0, (0<α<1) by considering the cases τ(t)≤t and τ(t)=t, respectively. Examples are inserted to show how impulsive perturbations greatly affect the oscillation behavior of the solutions.
Citation
A. Zafer. "Oscillation of Second-Order Sublinear Impulsive Differential Equations." Abstr. Appl. Anal. 2011 (SI1) 1 - 11, 2011. https://doi.org/10.1155/2011/458275
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