Abstract In this paper, we study the oscillation of a class third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales. By using Riccati transformation and integral inequality, establish several new theorems to ensure that each solution equation oscillates or asymptotically approaches zero, results in literature are supplemented extended. Examples given illustr...

Employing Riccati techniques and the integral averaging method, we establish interval oscillation criteria for the second-order Emden-Fowler neutral delay differential equation [|x′(t)|γ−1x′(t)]′ + q1(t)|y(t− σ)|α−1y(t− σ) + q2(t)|y(t− σ)|β−1y(t− σ) = 0, where t ≥ t0 and x(t) = y(t) + p(t)y(t − τ). The criteria obtained here are different from most known criteria in the sense that they are base...

Emden–Fowler type equations are nonlinear differential that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific equation emerges queuing theory context approximation voltages under well-known power flow model. Thus, place the electrical engineering. We derive properties continuous solution study behavior ...

We discuss the asymptotic behavior of solutions to a higher-order Emden–Fowler type equation with constant potential. Several author’s results are presented concerning both positive and oscillatory solutions to equations with regular and singular nonlinearities. We discuss the existence and asymptotic behavior of “blowup” solutions. Results on the asymptotic behavior of oscillating solutions ar...

Sufficient conditions are given for a generalized Emden-Fowler equation with deviating argument to have nonoscillatory solutions with prescribed asymptotic behavior as t —> oo. The integrability condition on the nonlinear term requires only conditional convergence, supplemented by a condition on the order of convergence, which is automatically satisfied in some important special cases. The expo...