Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations

Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type

“…There are relatively few works devoted to the study of equations of type (2); see, for example, [1][2][3][4]. In [5], the asymptotic behaviors of nonoscillatory solutions of the higher-order integrodynamic equation on time scales are presented. In most papers, the following special case of (2) is considered:…”

“…see, e.g., [6][7][8][9], [10][11][12][13], [14], [15], or [16]. For some recent results devoted to nonlinear Volterra equations we refer to [5,[17][18][19][20][21][22] and references therein. Note, that equation (E) generalizes the second-order discrete Volterra difference equation of type (2):…”

Oscillation Criteria for Some Higher Order Integrodynamic Equations on Timescales

“…This work is an extension to the analysis done in [7]. The nonoscillatory behavior for some higher order integrodynamic equations was studied recently in [8].…”

On the asymptotic behavior of nonoscillatory solutions of certain fractional differential equations with positive and negative terms

“…, and c 0 is a real constant. Oscillation and asymptotic properties of solutions of integro-differential equations and fractional differential equations are relatively scarce in the literature; some results can be found in [2,7,9,10,12,[17][18][19][20][21]. The only results to date for forced fractional differential equations with positive and negative terms of the type (1.1) appear to be those in [11] where sufficient conditions for boundedness of nonoscillatory solutions are obtained.…”