[PDF] Top 20 On the asymptotic behavior of fourth order functional differential equations

... The aim of this work is to study asymptotic properties of a class of fourth-order delay differential equations. Our results in this paper not only generalize some previous results, but also ... 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 differential ... See full document

... and asymptotic behavior at infinity of increasing positive solutions of second order quasilinear ordinary differential equations (p(t) ϕ (x (t))) + q(t) ψ (x(t)) = 0 are studied in the framework ... See full document

... fractional order differential equation D α a x(t) + q(t)f (x(t)) = 0, t ∈ [a, +∞), a > 0, where q is a positive real-valued function and f is a continuous functional; D α a denotes the Riemann-Liouville ... See full document

... evolution equations with dispersive and dissipative terms because these problems arise widely in practical ...of fourth-order nonlinear evolution equations with non- linear, dispersive and ... See full document

... P., Integral type asymptotic conditions for the solvability of a periodic fourth order boundary value problem, in Differential Equations, ed.. Aftabizadeh, Ohio University to appear..[r] ... See full document

... Professor Ivan Kiguradze is widely recognized as one of the leading contemporary ex- perts in the qualitative theory of ordinary differential equations. His research has been partly summarized in the monograph ... 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

... 1. Introduction. In recent years, there have been many papers considering the im- pulsive differential equations, see, for example, [2, 3, 1, 4, 5] and the references cited in [3]. In this paper, our results extend ... See full document

... Using the Riccati transformation technique, we present several sufficient conditions that guarantee that all solutions to a third-order differential equation with nonpositive neutral coefficients and distributed ... See full document

... the asymptotic properties of the solutions of second order differential equations [1] [2] difference equ- ations of the type (E) and/or related equations have been investigated by many ... See full document

... Onose, Asymptotic behavior of nonoscillatory solutions of functional differential equations of arbitrary order, J.. Onose, Nonoscillation theorems for differential equations with deviati[r] ... See full document

... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ... See full document

... We study vanishing at infinity solutions of a fourth-order nonlinear differential equation. We state sufficient and/or necessary conditions for the existence of the positive solution on the half-line [0, ∞ ) ... See full document

... This paper is concerned with asymptotic and oscillatory properties of the nonlinear third-order differential equation with a negative middle term. Both delay and advanced cases of argument deviation are ... See full document

... Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation dut/dt + Aut+ Gut ft, where A is a maximal monotone operator in a nilbert spa[r] ... See full document

... Oscillation, Nonoscillation and Growth of Solutions of Nonlinear Functional Differential Equations of Arbitrary Order, J.. Asymptotic Properties of Solutions of Functional Differential E[r] ... See full document

... The objectives of the paper are to study the behavior of Wronskians of solutions of L and L*, and to relate this behavior with the oscillation of L and L*, as well as to the structure of[r] ... See full document

... differential equations with continuously distributed delay is ...certain asymptotic behavior of nonoscillatory solutions of this equations is ... See full document

... since it provides needed relationship between yt and y n−1 t, and this fact permit us to establish just one condition for asymptotic behavior of 1.2. If we try to apply the Philos and Staikos lemma to E, ... See full document