[PDF] Top 20 On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay
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On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay
... a second order delay equation is reduced to one first-order integrodifferential delay equation while in 2 a second-order equation is reduced to a system of a nonlinear ... See full document
8
W transform for exponential stability of second order delay differential equations without damping terms
... Various applications of equation (.) and its generalizations can be found, for example, in the theory of self-excited oscillations, in oscillation processes in a vacuum tube, in dy- namics of an auto-generator, in ... See full document
12
Stability and boundedness of solutions of certain nonlinear delay differential equations of second order
... This paper is mainly concerned with the stability and boundedness of solutions of (1.1). For the special case in which (1.1) is a scalar equation (so that n = 1) with zero delay, a number of boundedness, stability ... See full document
12
Oscillation criteria for third order delay differential equations
... The main objective in this paper is to study the asymptotic and oscillatory behavior of the solutions of (.). Our method is essentially based on establishing sharper estimates for increasing positive solutions of (.) ... See full document
11
Asymptotic behaviour of nonoscillating solutions of neutral delay differential equations of the second order with impulses
... ordinary differential equations, the solutions are continuously differentiable sometimes at least once, whereas the impulsive differential equations generally possess non-continuous ... See full document
10
Comparison Theorems for the Third Order Delay Trinomial Differential Equations
... differential equations see ...the second-order equations 16, 17, 20 like the Riccati transformation and the integral averaging method and extend them to the third-order ... See full document
12
An improved approach for studying oscillation of second order neutral delay differential equations
... Another widely used technique, applicable also in the above-mentioned case, involves the Riccati type transformation which has been used to reduce equation (E) to a first-order Riccati inequality. In 2006, Sun and ... See full document
13
Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay
... Using the Kuratowski measure of noncompactness and progressive estimation method, we obtain the existence results of mild solutions for impulsive partial neutral second-order functional integro-differential ... See full document
19
Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem
... for second-order impulsive and delay differential equations, and we obtain the result that there exist at least three nonnegative symmetric positive solutions by means of a generalization of ... See full document
11
Oscillation of second order nonlinear delay differential equations with nonpositive neutral coefficients
... In what follows, we provide some background details regarding the study of oscillation of second-order differential equations which motivated our study. Oscillation criteria for (.) and its ... See full document
7
On the Oscillation of Second Order Neutral Delay Differential Equations
... differential equations find numerous applications in natural science and ...neutral delay differential equations, and we refer to the recent papers 2–23 and the references cited ... See full document
8
Oscillation of Second Order Nonlinear Neutral Delay Differential Equations
... 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
13
Oscillation of forced second order neutral delay differential equations
... The objective of this paper is to study oscillation of a forced second-order neutral differential equation. By using the generalized Riccati substitution and integral technique, a new sufficient condition is ... See full document
5
Oscillation Criteria for Second Order Nonlinear Neutral Delay Differential Equations
... differential equations has been the subject of intensive study; we refer to the articles 1–13 ; Especially, the study of the oscillation of neutral delay differential equations is of great interest in ... See full document
23
Nonlinear delay differential equations with small lag
... Green-Liouville formulae for second order delay differential equations, To appear... Asymptotic integration of the functional differential equation y’t.[r] ... See full document
10
Constructive solution of coupled second order delay differential equations with variable coefficients
... From a computational point of view, the solution provided by Theorem 2 has the drawback that the expression of Kt,x and Xt is given in terms of infinite series involving Xt, Xt and the b[r] ... See full document
12
On the oscillation of fourth order delay differential equations
... Because of the above motivating factors for the study of fourth-order differential equa- tions, as well as because of the theoretical interest in generalizing and extending some known results from those given for ... See full document
15
An optimal method for approximating the delay differential equations of noninteger order
... in order to obtain the solution of delay differential equations, delay partial differential equations, and a system of coupled delay equations featuring fractional ... See full document
15
Semilinear functional differential equations with fractional order and finite delay
... In this paper, we establish sufficient conditions for existence and uniqueness of solutions for semilinear functional differential equations with finite delay involving the Riemann-Liouv[r] ... See full document
9
Oscillations of Fourth Order Linear Neutral Delay Differential Equations
... [5] Jozef Džurina, Blanka Baculíková and Irena Jadlovská B, New oscillation results to fourth-order delay differential equations with damping, Electronic Journal of Qualitative Th[r] ... See full document
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