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Citation - WoS: 1
Citation - Scopus: 4
Second Order Oscillation of Mixed Nonlinear Dynamic Equations With Several Positive and Negative Coefficients
(Amer inst Mathematical Sciences-aims, 2011) Ozbekler, Abdullah; Zafer, Agacik; Mathematics
New oscillation criteria are obtained for superlinear and sublinear forced dynamic equations having positive and negative coefficients by means of nonprincipal solutions.
Citation - WoS: 1
Citation - Scopus: 1
Sub-Linear Oscillations via Nonprincipal Solution
(Editura Acad Romane, 2018) Ozbekler, Abdullah; Mathematics
In the paper, we give new oscillation criteria for forced sub-linear differential equations with "oscillatory potentials" under the assumption that corresponding linear homogeneous equation is nonoscillatory.
Citation - WoS: 6
Citation - Scopus: 6
Lyapunov Type Inequalities for Second Order Sub and Super-Half Differential Equations
(Dynamic Publishers, inc, 2015) Agarwal, Ravi P.; Ozbekler, Abdullah; Mathematics
In the case of oscillatory potential, we present a Lyapunov type inequality for second order differential equations of the form (r(t)Phi(beta)(x'(t)))' + q(t)Phi(gamma)(x(t)) = 0, in the sub-half-linear (0 < gamma < beta) and the super-half-linear (0 < beta < gamma < 2 beta) cases where Phi(*)(s) = vertical bar s vertical bar*(-1)s.