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  • Article
    Citation - WoS: 2
    Picone Type Formula for Non-Selfadjoint Impulsive Differential Equations With Discontinuous Solutions
    (Univ Szeged, Bolyai institute, 2010) Ozbekler, A.; Zafer, A.
    A Picone type formula for second order linear non-selfadjoint impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived. Applying the formula, Leighton and Sturm-Picone type comparison theorems as well as several oscillation criteria for impulsive differential equations are obtained.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    NEW RESULTS FOR OSCILLATORY PROPERTIES OF NEUTRAL DIFFERENTIAL EQUATIONS WITH A p-LAPLACIAN LIKE OPERATOR
    (Univ Miskolc inst Math, 2020) Bazighifan, O.; Grace, S. R.; Alzabut, J.; Ozbekler, A.
    Results reported in this paper provide a generalization for some previously obtained results. Based on comparing with the oscillatory behavior of first-order delay equations, we provide new oscillation criteria for the solutions of even-order neutral differential equations with a p-Laplacian like operator. The proposed theorems not only provide totally different approach but also essentially improve a number of results reported in the literature. To demonstrate the advantage of our results, we present two examples.