On stability and boundedness of solutions of fourth-order differential equations with multiple delays

Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

“…The investigation of qualitative behaviour of the solution of nonlinear delay differential equation of fourth order has received considerable attention and has been subject of many articles in the literature, for instance, Abou-El-Ela et al [1], Bereketoglu [3], Chin [7], Ezeilo [9]- [12], Kang [18], Omeike [19], Rahmane and Fatmi and Remili [21], Rahmane and Remili [22], Remili and Rahmane [28,29,30], Sadek [31], Sinha [32], Tejumola and Tchegnani [33], Tunç [34], Vlček [35], Wu and Xiong [36]. For nonlinear differential equations of neutral type, there are few results of stability, boundedness, and square integrability of solutions.…”

Stability and boundedness of solutions of nonlinear fourth order differential equations with bounded delay

“…However, [4,5,16] include such a useful content about the qualitative behaviors of differential equations without or with delay. To gain much better perspective on the boundedness and stability, see the papers of Ezeilo [6,7], Hara [8], Harrow [9,10], Tunç [22,23,24,25,26], Remili et al [15,17,18], Wu and Xiong [27] and others and theirs references. As motive from references, we obtain some new consequences on the uniformly asymtotically stability and boundedness of the solutions by means of the Lyapunov's functional approach.…”