[PDF] Top 20 Solutions of the neutral differential difference equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t)
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Solutions of the neutral differential difference equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t)
... Suppose that an exponential type solution exists to the homogeneous equation 1.1b of the form e The value of will be given as one of the roots of the characteristic equation hg- 0 where [r] ... See full document
8
Oscillations of Solutions of Neutral Nonlinear Differential Equations
... of differential equations and study the oscillatory behavior of a kind of first-order neutral nonlinear differential equation with time delay ...the solutions of the type of first order ... See full document
9
Positive solutions and iterative approximations of a third order nonlinear neutral delay difference equation
... positive solutions for ...positive solutions and discuss the error estimates between these bounded positive solutions and the iterative se- quences generated by the Mann iterative ... See full document
24
Existence and controllability results for damped second order impulsive neutral functional differential systems with state-dependent delay in Banach spaces
... In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive neutral functional differential equation with state-dependent delay in ... See full document
16
Periodic solutions for a kind of higher order neutral functional differential equation with variable parameter
... Remark . In our paper, we consider the n-order period equation (.); in this sense, we generalize the model in [] to higher order under the equivalent conditions. Moreover, in view of the variable parameter ... See full document
10
Positive solutions and convergence of Mann iterative schemes for a fourth order neutral delay difference equation
... of solutions for some sec- ond and third order difference equations, see, for example, [–] and the references cited ...nonoscillatory solutions and positive solutions for the following second and ... See full document
38
Trichotomy of nonoscillatory solutions to second order neutral difference equation with quasi difference
... above equation is transformed into a new one, which is a third-order non-neutral difference ...new equation, the asymptotic properties of the neutral difference equation are ... See full document
14
Existence and stability of solutions to non linear neutral stochastic functional differential equations in the framework of G Brownian motion
... sciences, have been driven by new modeling known as stochastic dynamical systems. This paper aims at studying these important dynamical systems in the framework of G-Brownian motion and G-expectation. It is demonstrated ... See full document
14
On existence of solutions of a impulsive stochastic partial functional integro differential equation with the measure of noncompactness
... mild solutions for a new class of impulsive stochastic partial neutral functional integro-differential equations with infinite delay and non-instantaneous impulses in separable Hilbert ... See full document
27
Oscillation of a higher order neutral difference equation with a forcing term
... contained therein. However, relatively few oscillation results are known for forced equations (see [5, 6, 7, 8, 9, 10, 11]). In this paper, we give sufficient conditions which ensure that all solutions of (1) are ... See full document
8
On the method of finding periodic solutions of second order neutral differential equations with piecewise constant arguments
... n-periodic solutions of () for f with ...periodic solutions of the equation is provided. The equivalence of equation () to the system of n + linear equations is also demon- ...periodic ... See full document
17
Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
... Since the real environment is influenced by noise inevitably, it is significant to consider the dynamical properties for a fractional stochastic impulsive neutral functional differen- tial equation with ... See full document
14
On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
... 2n-periodic solutions o f ( 1) f o r f with ...periodic solutions o f the equation is ...f equation (1) to the system o f n + 1 linear equations is also demon ...periodic solutions are ... See full document
17
Neutral operator with variable parameter and third order neutral differential equation
... differential equation and a fixed point theorem in cones, we obtain sufficient conditions for the existence, mul- tiplicity and nonexistence of positive periodic solutions to the third-order neutral ... See full document
18
Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro Differential Equation
... The results obtained for the resolvent operator in this section are similar to those that can be found, for instance, in the papers 21, 23, 30. In this paper, we prove the necessary estimates for the proof of an ... See full document
26
Periodic solutions for p Laplacian neutral differential equation with multiple delay and variable coefficients
... the neutral operator A, we studied the existence of a periodic solution for equation ...p-Laplacian neutral differential ...the equation into a two-dimensional ... See full document
24
Existence of periodic solutions for a higher order neutral difference equation
... differential equation and difference equation has impor- tant academic value and application ...periodic solutions of neutral difference equations are relatively few (see [7, ... See full document
8
Existence of nonoscillatory solutions for fractional neutral functional differential equation
... fractional differential equations, we refer the reader to [7, 8, 10] and the references cited ...fractional differential equations, such as the existence and uniqueness of solutions to Cauchy type ... See full document
8
A classification scheme for nonoscillatory solutions of a higher order neutral difference equation
... Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii’s fixed point theorem, existence ... See full document
19
Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation
... [1]-[5]. Neutral delay differential equations have applications in electric networks containing Lossless transmission lines and population dynamics ...concerning neutral parabolic differential ... See full document
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