Stability of a system of Volterra integro-differential equations
نویسندگان
چکیده
منابع مشابه
Stability of a system of Volterra integro-differential equations
Using new and known forms of Lyapunov functionals, this paper proposes new stability criteria for a system of Volterra integro-differential equations. 2003 Elsevier Science (USA). All rights reserved.
متن کاملApproximate solution of system of nonlinear Volterra integro-differential equations by using Bernstein collocation method
This paper presents a numerical matrix method based on Bernstein polynomials (BPs) for approximate the solution of a system of m-th order nonlinear Volterra integro-differential equations under initial conditions. The approach is based on operational matrices of BPs. Using the collocation points,this approach reduces the systems of Volterra integro-differential equations associated with the giv...
متن کاملStochastic Volterra integro-differential equations: stability and numerical methods
We consider the reliability of some numerical methods in preserving the stability properties of the linear stochastic functional differential equation ẋ(t) = αx(t) + β ∫ t 0 x(s)ds+ σx(t− τ )Ẇ (t), where α, β, σ, τ ≥ 0 are real constants, and W (t) is a standard Wiener process. We adopt the shorthand notation of ẋ(t) to represent the differential dx(t) etc. Our choice of test equation is a stoc...
متن کاملPositive Solutions of Volterra Integro–differential Equations
We present some sufficient conditions such that Eq. (1) only has solutions with zero points in (0,∞). Moreover, we also obtain some conditions such that Eq. (1) has a positive solution on [0,+∞). The motivation of this work comes from the work of Ladas, Philos and Sficas [5]. They discussed the oscillation behavior of Eq. (1) when P (t, s) = P (t− s) and g(t) = t. They obtained a necessary and ...
متن کاملGlobal Stability for a Nonlinear Volterra Integro–Differential System
Sufficient conditions are given which guarantee that the trivial solution x = 0 for a nonlinear integro–differential system is globally attracting. As an example, this result is applied to a SIRS epidemic model with subpopulations to show that, under certain conditions, the endemic equilibrium is globally asymptotically stable.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00171-9