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[PDF] Top 20 Stability of High Order Linear Itô Equations with Delays

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Stability of High Order Linear Itô Equations with Delays

Stability of High Order Linear Itô Equations with Delays

... problem (10), (11), (12) coincides with the solution x of the initial value problem (2), (5), (6), so that the exponential p -stability of Equation (2) follows from the exponential p -stability of system ... See full document

14

Region stability of linear stochastic discrete systems with time delays

Region stability of linear stochastic discrete systems with time delays

... a linear system with- out delays, as is well known, the stability is related to the system matrix root-clustering in subregions of the complex ...the stability of systems has a close relation ... See full document

10

About Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory

About Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory

... asymptotic stability independent of the sizes of the delays of linear time-varying systems with internal point delays which possess a limiting equation via fixed point ...The stability ... See full document

20

Stability of the stationary solutions of neural field equations with propagation delays

Stability of the stationary solutions of neural field equations with propagation delays

... the delays coming from the finite-velocity of signals in axons, dendrites or the time of synaptic transmission [7, ...fields equations feature some interesting mathematical ...propagation delays? We ... See full document

28

Difference inequality for stability of impulsive difference equations with distributed delays

Difference inequality for stability of impulsive difference equations with distributed delays

... In this paper, we consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of “r-cone” and eigenspace of ... See full document

9

Fixed Points and Stability in Nonlinear Equations with Variable Delays

Fixed Points and Stability in Nonlinear Equations with Variable Delays

... differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping ...two equations about the stability of the ... See full document

14

Stability analysis for second order stochastic neutral partial functional systems subject to infinite delays and impulses

Stability analysis for second order stochastic neutral partial functional systems subject to infinite delays and impulses

... in order to overcome the difficulty of im- pulses and infinite delays, in this paper we first establish a new integral inequality with re- spect to impulses and infinite delays, which makes an important ... See full document

11

Exponential Stability of Difference Equations with Several Delays: Recursive Approach

Exponential Stability of Difference Equations with Several Delays: Recursive Approach

... is exponentially stable, since |0.50.1 sin n||0.6−0.1 sin n| 1.1 and 0.7·1.1|1−1.1| 0.87 < 1. Now let us assume that all coefficients are proportional. Such equations arise as linear approximations of ... See full document

13

2. Stability of a linear integro-differential equation of first order with variable delays

2. Stability of a linear integro-differential equation of first order with variable delays

... It is well known from the related literature that the IDEs are often used to model some practical problems in mechanics, physics, biology, ecology and the other scientific fields (see, e.g. Burton [5], Levin [10], Rahman ... See full document

12

Some qualitative properties of linear dynamic equations with multiple delays

Some qualitative properties of linear dynamic equations with multiple delays

... Remark . As an immediate consequence, we get that under the assumptions of Theo- rem ., (.) is asymptotically stable (i.e. its any solution y tends to zero as t → ∞) if all the zeros of Q(λ) are located inside the ... See full document

12

Almost sure exponential stability of hybrid stochastic functional differential equations

Almost sure exponential stability of hybrid stochastic functional differential equations

... time delays are sufficiently ...the linear scalar SDE dx(t) = σx(t)dB(t) is almost surely exponentially stable by applying the Itô formula to log(x(t)) (see, ...exponential stability of the ... See full document

19

On the Ulam stability of a class of Banach space valued linear differential equations of second order

On the Ulam stability of a class of Banach space valued linear differential equations of second order

... Ulam stability (Hyers-Ulam stability or Hyers-Ulam-Rassias stability) is one of the most active research topics in the theory of functional ...such stability problems for functional ... See full document

9

On the stability of linear differential equations of second order

On the stability of linear differential equations of second order

... the stability problems of various functional equations have been investigated by many ...the stability problems of functional equations in ... See full document

6

Higher order KdV type equations and their stability

Higher order KdV type equations and their stability

... 1. Introduction. Since the inverse scattering technique was established [5], several methods of obtaining solitary wave solutions have been developed. Due to the avail- ability of symbolic manipulation packages such as ... See full document

6

Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order.

Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order.

... of equations of lower order goes back to Fano ((12)) whose results were reproven by ...a linear differential equation of order four is solvable in terms of lower order equations ... See full document

121

On Lyapunov type inequalities for fourth order linear differential equations

On Lyapunov type inequalities for fourth order linear differential equations

... higher order linear di¤erential equations which satisfy n-point boundary conditions, but as far as we know, there are fewer studies with regard four order di¤erential equations that the ... See full document

7

An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

... The rational Chebyshev collocation method presented in [17] will be developed and improved in terms of the derivatives in obtaining the fundamental matrix derivative relations of RC, and then it will be applied to solve ... See full document

8

Stability in Totally Nonlinear Neutral Dynamic Equations on Time Scales

Stability in Totally Nonlinear Neutral Dynamic Equations on Time Scales

... asymptotic stability and the stability of the zero solution for equation ...asymptotic stability and the stability of the zero for equation ... See full document

14

Hyers ulam stability of exact second order linear differential equations

Hyers ulam stability of exact second order linear differential equations

... Hyers-Ulam stability of exact second-order linear differential ...Hyers-Ulam stability of the following equations: second-order linear differential equation with constant ... See full document

7

Approximately $n$-order linear differential equations

Approximately $n$-order linear differential equations

... Hyers–Ulam–Rassias stability (or the generalized Hyers–Ulam ...Hyers–Ulam stability of differential equation y 0 = y was first investigated by Alsina and Ger ...Hyers–Ulam–Rassias stability of ... See full document

5

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