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We obtain oscillation conditions for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term. To cope with non-canonical types of equations, we propose new oscillation criteria for the main equation when the neutral coefficient does not satisfy any of the conditions that call it to either converge to 0 or ∞. Our approach differs from others in that we first turn into the non-canonical equation to a canonical form and as a result, we only require one condition to weed out non-oscillatory solutions in order to induce oscillation. The conclusions made here are new and have been condensed significantly from those found in the literature. For the sake of confirmation, we provide examples that cannot be included in earlier works. [ABSTRACT FROM AUTHOR]

This paper deals with the asymptotic behavior of solutions to a class of semicanonical third-order delay differential equations with a superlinear neutral term. First, we transform the semi-canonical equation into canonical type and then by applying a Riccati type transformation and integral conditions, we obtain some new sufficient conditions ensuring that every solution of the studied equation either oscillates or converges to zero asymptotically. The results are illustrated via two examples. [ABSTRACT FROM AUTHOR]

The authors establish some new oscillation criteria for a class of even-order functional differential equations with a superlinear neutral term using comparison methods and integral conditions. The results obtained are complement and improve a number of existing ones in the literature. An example is provided to illustrate the main results. [ABSTRACT FROM AUTHOR]

The present paper is concerned with the asymptotic behavior of solutions to a class of noncanonical third-order Emden–Fowler delay differential equations with a superlinear neutral term. Using a Riccati-type transformation as well as integral criteria, we establish some new sufficient conditions guaranteeing that every solution of the equation considered either oscillates or converges to zero asymptotically. The results are illustrated with two examples. [ABSTRACT FROM AUTHOR]

Oscillation criteria for a class of second-order delay difference equations with a superlinear neutral term are established using a new approach. The results improve and significantly simplify the ones reported in the literature. [ABSTRACT FROM AUTHOR]

The present paper is concerned with the asymptotic behavior of solutions to a class of noncanonical third-order Emden–Fowler delay differential equations with a superlinear neutral term. Using a Riccati-type transformation as well as integral criteria, we establish some new sufficient conditions guaranteeing that every solution of the equation considered either oscillates or converges to zero asymptotically. The results are illustrated with two examples.