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Delay differential equation
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In this paper, we consider a boundary value problem for a fully fourth-order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments. By the reduction of the problem to operator equation for the right-hand side nonlinear function, we establish the existence and uniqueness of the solution and construct iterative methods on both continuous and discrete levels for solving it.
14p
dianmotminh02
03-05-2024
3
2
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The thesis "Stability of some classes of degenerate two-phase difference systems with delay" is to study the stability of degenerate two-phase systems with mixed delay in the direction of variation; Stability and dissipation in finite domain of degenerate 2-D system with variable delay; Evaluation of the gain set and control design for a degenerate 2-D system in the Roesser model with variable delay;... Please refer to it!
120p
gaupanda019
21-03-2024
4
1
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This paper proposes a unified approach to study global exponential stability for a class of switched time-delay linear systems described by general linear functional differential equations.
12p
vimulcahy
18-09-2023
4
4
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Lecture "Digital signal processing - Chapter 4: System structures" will learn the structure of the digital filters of the family of this system, in order to choose the appropriate structure to save money save resources of electronic components (number of delay shifters, adders, amplifiers) as well as improve quality when performance (reducing error phenomena). We invite you to take a look at the content of the lecture.
29p
phuong3676
23-06-2023
6
3
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In this work, we prove the existence of decay solution in mean square moment for a class of stochastic integro-differential equations with infinite delays driven by fractional Brownian motion. The existence of mild solutions is obtained by using the Banach fixed point theorem and some inequality technique.
7p
viharry
15-12-2022
8
2
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In this work "An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay", in the light of the Razumikhin stability theorem combined with the Newton–Leibniz formula, a new delay-dependent exponential stability condition is first derived for linear non-autonomous time delay systems without using model transformation and bounding techniques on the derivative of the time-varying delay function. The condition is presented in terms of the solution of Riccati differential equations.
6p
runordie5
04-07-2022
7
2
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Research aims: This thesis is concerned with the stability of some classes of nonlinear time-delay systems in neural networks. Investigating the problem of stability of non-autonomous neural networks with heterogeneous time-varying delays in the effect of destablizing impulses. Stabilizing Hopfiled neural networks with proposition delays subject to stabilizing and destablizing impulsive effects simultaneously.
27p
tunelove
10-06-2021
20
3
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In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new weighted metric space.
16p
tamynhan9
02-12-2020
19
2
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Simeoni and colleagues introduced a compartmental model for tumor growth that has proved quite successful in modeling experimental therapeutic regimens in oncology. The model is based on a system of ordinary differential equations (ODEs), and accommodates a lag in therapeutic action through delay compartments.
10p
vijakarta2711
09-06-2020
8
1
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The stability analysis of linear time invariant delay differential- algebraic equations (DDAEs) is analyzed. Examples are delivered to demonstrate that the eigenvalue-based approach to analyze the exponential stability of dynamical systems is not valid for an arbitrarily high index system, and hence, a new concept of weak exponential stability (w.e.s) is proposed. Then, we characterize the w.e.s in term of a spectral condition for some special classes of DDAEs.
13p
cathydoll4
21-02-2019
41
1
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In this paper, a boundary value problem consisting of a delay differential equation of the Sturm–Liouville type with eigenparameter-dependent boundary conditions is investigated. The asymptotic behavior of eigenvalues is studied and the parameter of delay is determined by eigenvalues.
11p
nutifooddau
21-01-2019
31
1
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This paper studies the spreading speed for a lattice differential equation with infinite distributed delay and we find that the spreading speed coincides with the minimal wave speed of traveling waves. Here the model has been proposed to describe a single species living in a 1D patch environment with infinite number of patches connected locally by diffusion.
16p
danhdanh27
07-01-2019
27
1
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In this paper, we propose and analyze a high-order uniform method for solving boundary value problems (BVPs) for singularly perturbed nonlinear delay differential equations with small shifts (delay and advance).
24p
danhdanh27
07-01-2019
27
2
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In this paper, sufficient criteria that guarantee the existence of stochastic asymptotic stability of the zero solution of the nonautonomous second-order stochastic delay differential equation were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.
9p
danhdanh27
07-01-2019
30
2
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In this paper we discuss the existence of positive periodic solutions for nonautonomous second order delay differential equations with singular nonlinearities in the presence of impulsive effects. Simple sufficient conditions are provided that enable us to obtain positive periodic solutions. Our approach is based on a variational method.
14p
danhdanh27
07-01-2019
35
2
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The well known Fokker-Plank-Kolmogorov Equation Method has been developed to study random vibration in systems with hysteresis that often described by the stochastic integro-differential equations or differential equations with delay.
10p
thienthanquydu
21-10-2018
17
1
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The aim of this paper is to study the almost sure exponential stability of stochastic differential delay equations on time scales. This work can be considered as a unification and generalization of stochastic difference and stochastic differential delay equations.
12p
truongtien_09
08-04-2018
31
1
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Trong bài báo này, các tác giả sử dụng kết quả của lí thuyết điểm bất động được giới thiệu trong [1] trong không gian các hàm khoảng được sắp xếp thứ tự để chứng minh tồn tại, duy nhất nghiệm cho lớp phương trình vi phân khoảng có trễ.
11p
bautroibinhyen16
09-02-2017
80
2
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In this paper, we show that if the operator $A(\cdot)$ is strongly continuous on Hilbert space $\mathbb H,$ $A(t)=A^*(t),$ $\sup\limits_{\|h\|\le 1}\int\limits_{T}^{+\infty}\|A(t)h\|dt\le q
7p
tuanlocmuido
19-12-2012
31
3
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In this paper, we study the asymptotic behavior of linear differential equations under nonlinear perturbation. Let’s consider the delay differential equations: dx = Ax + f(t, xt ), dt where t ∈ R+ , A ∈ L(E), f : R+ × E −→ E and (T (t))t≥0 is C0 -semigroup be generated by A. We will give some sufficient conditions for uniformly stable and asymptotic equivalence of above equations.
7p
tuanlocmuido
19-12-2012
29
1
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