We obtain oscillation conditions for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term. To cope types of equations, we propose new criteria the main equation when coefficient does not satisfy any that call it to either converge \(0\) or \(\infty\). Our approach differs from others in first turn into canonical form and as result, only require one con...

Abstract We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that is solvable closed form. Some applications of are also given.

This paper studies the asymptotic behavior of solutions of the second-order nonlinear delay differential equations with impulses: 1 ( ( ) ( )) ( ) ( ) ( ) ( ) ( ) 0 n i i k i r t x t p t x t q t x t f t t t σ ′ ′ ′ = − + − + = , ≠ , ∑ ( ) ( ) ( ) ( ) ( ) ( ) k k k k k k k k x t x t a x t x t x t b x t k Z ′ ′ ′ + + + − = , − = , ∈ . and some sufficient conditions are obtained. Keywords-Asymptot...

Neutral differential equations find numerous applications in natural science and technology. For instance, they are frequently used for the study of distributed networks containing lossless transmission lines; see Hale 1 . In recent years, many studies have been made on the oscillatory behavior of solutions of neutral delay differential equations, and we refer to the recent papers 2–23 and the ...