[PDF] Top 20 Asymptotic behavior of a third order nonlinear neutral delay differential equation

... the third-order differential equations are derived from many different areas of applied mathematics and physics, for instance, deflection of buckling beam with a fixed or variable cross-section, three-layer ... See full document

... of neutral differential equations is more difficult in comparison with that of ordinary differential equations, although certain similarities in the behavior of solutions of these two classes of equations are ... See full document

... and asymptotic behavior of solutions for different classes of neu- tral differential equations and neutral dynamic equations on time scales is an active and important area of research, and we ... See full document

... Ordinary differential equations function we investigate the asymptotical stability and bounded ness of solution or 3rd order nonlinear differential ...of nonlinear 3rd order ... See full document

... and asymptotic behavior of a second-order neutral delay dynamic equation on an arbitrary time ...studied equation oscillates or converges to ... See full document

... and asymptotic behavior of various classes of second-order and high-order differential equations and dynamic equations on time scales ...the third-order (TO) neutral ... See full document

... Under c = ± and other conditions, they obtained sufficient conditions for the existence of nonoscillatory solutions of Eqs. (.) and (.), respectively. In , Zhou and Zhang [] extended the result in [] to the nth ... See full document

... The Third Order Nonlinear Neutral Delay Difference Equation, International Journal of Engineering Research & Technology (IJERT) ISSN: 2278-0181 ... See full document

... and established a new comparison principle by using new monotonic properties of nonoscillatory solutions and iterated exponentiation. Agarwal et al. [7] used an approach that leads to two independent conditions, ... See full document

... Professor, Department of Mathematics, Kakatiya Institute of Technology and Science, Yerragutta, Warangal, India 1 Professor, Department of Mathematics, Sridevi Women’s Engineering College, Gandipet, Hyderabad, India 2 ... See full document

... functional differential equations with piecewise constant arguments, see, for example in literature ...of neutral functional differential equations with piecewise constant arguments [17]-[32], ... See full document

... The theory of time scales, which has recently received a lot of attention, was introduced by Hilger in his Ph. D. thesis [1] in order to unify continuous and discrete analysis. A time scale T is an arbitrary ... See full document

... By using Riccati transformation technique, we established sufficient conditions which insure that solution of class of third order neutral delay differential equation is ... See full document

... our equation, a neutral dynamic equation, is more general than other third-order dynamic equations and therefore it is very ...second-order nonlinear neutral ... See full document

... The third order differential equations arise in the study of entropy-flow phe- nomenon, problems of hydrodynamics, three-layer beams and so forth, see the mono- graph [7] and the references cited ...and ... See full document

... differential equation are ...the third order differential equation, and the convergence and stability of the iterative sequence generated by the algorithm are ... See full document

... By employing a generalized Riccati transformation and integral averaging technique, two Philos-type criteria are obtained which ensure that every solution of a class of third-order neutral ... See full document

... and asymptotic behavior of third order differential equations, see for example [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], and the references ... See full document

... In this paper we study existence, uniqueness and asymptotic stability the solutions of a class of third order neutral delay differential equations.. piecewise constant argument..[r] ... See full document

... Asymptotic Behavior of olutlons of Fourth Order Nonlinear Differential Equations, Proc.. An Oscillation Criterion for a Fourth Order Integrally Superllnear Differential Equation, Attl.[r] ... See full document