Boundedness and stability
Boundedness and stability of discrete Volterra equations
... are boundedness, stability and periodicity. Boundedness of solutions of linear dis- crete Volterra equations has been studied by many ...for boundedness of all solutions of the linear Volterra ...
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Structured robust stability and boundedness of nonlinear hybrid delay systems
... < \infty a.s., which implies another assertion (5.26). 6. Special cases and examples. In this section we will discuss a number of special cases of hybrid SDDEs in order to demonstrate how our new theory established in ...
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Structured robust stability and boundedness of nonlinear hybrid delay systems
... 6 Special Cases and Examples In this section we will discuss a number of special cases of hybrid SDDEs in order to demonstrate how our new theory established in the previous two sections can be applied to show the ...
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Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching
... functions for different modes of the underlying SFDE. It is observed that the diffusion oper- ators (1.2) in all modes, for the SDDE (1.1), are controlled by the values of U 2 (x(s), s) at times s = t − τ and s = t. When ...
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On the stability, boundedness, and square integrability of solutions of third order neutral delay differential equations
... among others) are for third order ordinary equations without delays. Works on third order neutral equations have been for the most part on two term nonautonomous equations (for example, see [4, 12, 14]). The results here ...
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Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation
... boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation.. Unless otherwise explicitly stated on the manuscript[r] ...
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Research Article Stability, Boundedness, and Lagrange Stability of Fractional Differential Equations with Initial Time Difference
... Copyright © 2014 Muhammed C ¸ ic¸ek et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided ...
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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations
... (ii) the diffusion operator of the SFDEs acting on a C 2 , 1 -function be bounded by a polynomial with the same order as the C 2 , 1 -function. However, there are many SFDEs which do not obey the linear growth condition. ...
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On stability and boundedness of solutions of a certain fourth order delay differential equation
... Using a Razumikhin type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differen[r] ...
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Boundedness and Exponential Stability of Positive Solutions for Nicholson-type Delay System
... Exponential Stability of Positive Solutions for Nicholson-type Delay System Changjin Xu, and Maoxin Liao Abstract—In this paper, we study an Nicholson-type delay system with ...the boundedness and ...
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Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching
... The stability problem of SDDEs with Markovian switching under different settings has been discussed, for example, in [10]-[13], ...asymptotic stability and boundedness of SDDEs with Markovian ...
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The Boundedness, Existence, Uniqueness and Stability of a Delayed Reaction diffusion Predator prey Model
... The boundedness, existence and uniqueness of the model is ...global stability of the constant equilibria are discussed by the linearization method and the method of upper and lower solutions, ...
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Shifting finite time stability and boundedness design for continuous-time LPV systems
... definitions and known results that will be used throughout the paper. The main theoretical results of this work, i.e. the design using shifting finite time boundedness and shifting finite time stability ...
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Boundedness, persistence and stability for classes of forced difference equations arising in population ecology
... We have presented boundedness, persistence and stability results for the class of non- linear, forced difference equations (1.1) which arise frequently in population biology and theoretical ecology. Our ...
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Boundedness and Lagrange stability of fractional order perturbed system related to unperturbed systems with initial time difference in Caputo's sense
... difference boundedness criteria and Lagrange stability for fractional order differential equation in Caputo ’ s sense are unified with Lyapunov-like functions to establish comparison ...difference ...
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Boundedness and Stability Properties of Solutions of Mathematical Model of Measles
... asymptotic stability and global asymptotic stability of solutions to a deterministic and compartmental mathematical model of measles infection is considered using the ideas of the Jacobian determinant as ...
Asymptotic boundedness and stability of solutions to hybrid stochastic differential equations with jumps and the Euler-Maruyama approximation
... probability for hybrid SDEs with jumps under nonlinear growth condition3. This work aims4[r] ...
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ϕ0-boundedness and practical ϕ0-stability of difference equations
... Using this method, Lakshmikantham and Liu [ 2 ] investigated nonuniform stability properties in terms of two measures of differential systems; Mcrae [ 3 ] discussed the nonuniform stabil[r] ...
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STABILITY AND BOUNDEDNESS ANALYSIS OF A SYSTEM OF RLC CIRCUIT WITH RESPONSE
... a stability and boundedness analysis of a sys- tem of RLC circuit modeled using a time varying state-space ...method. Stability problem analysis is very important in RLC ...system stability is ...
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Stability and boundedness in the numerical solution of initial value problems
... linear stability analysis of such ...numerical stability – under a stepsize restriction related to the stability region of the numerical method and to a circle condition on the differential ...
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