Oscillation of Second-Order Sublinear Impulsive Differential Equations

2011
Zafer, A.
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)vertical bar x(tau(t))vertical bar(alpha-1)x(tau(t)) = 0, t not equal theta(k); Delta x'(t)vertical bar(t=theta k) + q(k)vertical bar x(tau(theta(k)))vertical bar(alpha-1)x(tau(theta(k))) = 0; Delta x(t)vertical bar(t=theta k) = 0, (0 < alpha < 1) by considering the cases tau(t) <= t and tau(t) = t, respectively. Examples are inserted to show how impulsive perturbations greatly affect the oscillation behavior of the solutions.

Citation Formats
A. Zafer, “Oscillation of Second-Order Sublinear Impulsive Differential Equations,” Abstract and Applied Analysis, vol. 2011, pp. 1–11, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/50986.