[PDF] Top 20 On stability and boundedness of solutions of a certain fourth order delay differential equation

... used Lyapunov functions to give sufficient conditions for stability and boundedness of a first-order and a second-order delay differential.. utilized his theorems to determine stability [r] ... See full document

... Nicholson-type delay system with delays. New criteria for the boundedness and exponential stability of positive solutions of Nicholson-type system with time-varying delays are established by ... See full document

... the stability and boundedness of solutions of ...scalar equation (so that n = 1) with zero delay, a number of boundedness, stability and convergence of solutions ... See full document

... and boundedness of solutions of nonlinear systems are important area of current research and many concept of stability and boundedness of solutions have in the past been studied by ... See full document

... of fourth order is consid- ...asymptotic stability of the solutions for p(t, x, x , x , x ) ≡  and also square integrability and boundedness of solutions of equation () ... See full document

... Solutions of the equation of the form (1.1) have been investigated by several researchers on the account of boundedness, stability, and global asymptotic stability (see, e.g., [1–9]). ... See full document

... that this case represents a borderline between situations where all solutions have a certain exponential character as x → ∞ and where only two solutions have this charac- ter. Al-Hammadi and Eastham ... See full document

... Later in 2011 Abou-El-Ela, Sadek and Mahmoud [30] obtained the sufficient conditions for the uniform stability of the zero solution of a nonlinear fifth-order delay differential equation[r] ... 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

... 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

... where x is the coordinate along the beam axis, t is the time, u = u(x, t) is the lateral dis- placement, δ is the viscous damping coefficient and γ is the stiffness coefficient per unit length. To find the traveling wave ... See full document

... difference equation was studied intensively by ...of solutions of nonlinear neutral delay difference ...the fourth order nonlinear neutral delay difference equation of the ... See full document

... Fourth order differential equations are often used in engineering and physical ...to fourth order differential equations appear in elasticity theory describing stationary states ... See full document

... of solutions to a boundary value problem of a fourth-order impulsive differential equation with a control parameter λ ...under certain conditions there exists an interval of the control ... See full document

... and boundedness of solutions of equa- tion () have not yet been discussed in the ...and boundedness of solutions of equation ...of solutions of functional integro-differential ... See full document

... QUALITATIVE PROPERTIES OF SOLUTIONS OF CERTAIN FOURTH ORDER LINEAR DIFFERENTIAL EQUATIONS W.E.. This work considers differential equations of the form.[r] ... See full document

... a delay differential equation the time derivatives at the current time which depend on the solution and possibly its derivatives at pervious ...first order differential equations posses ... See full document

... Inspired by the above references, the object of this article is to study existence and multiplicity of nontrivial solution of a fourth-order elliptic equation under some condi- tions on the function ... See full document

... Pantograph differential equation was used by Ock- endon and Tayler [15] to investigate how the electric current is collected by the pantograph of an electric locomotive, from where it gets the ...stochastic ... See full document

... where g(x) satisfies the semilinear condition at infinity and the time map satisfies an os- cillation condition, and prove that the given equation possesses infinitely many positive π-periodic solutions by ... See full document