منابع مشابه
On a Difference-delay Equation
We investigate how the behaviour, especially at 1; of continuous real solutions f (t) to the equation f (t) = a 1 f (t + h 1) + a 2 f (t ? h 2); where a 1 ; a 2 ; h 1 ; h 2 are positive real constants, depends on the values of these parameters. Deenitive answers are given, except in certain cases when h 1 =h 2 is rational..
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Delay parabolic equations (DPEs) have important applications in a wide range of applications such as physics, chemistry, biology and ecology and other fields. For example, diffusion problems where the current state depends upon an earlier one give rise to parabolic equations with delay. In mathematical modeling, DPEs are used together with boundary conditions specifying the solution on the boun...
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In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
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The influence of certain discontinuous delays on the behavior of the solutions of the wave equation is studied.
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It is shown that the fundamental solution of a hyperbolic partial differential equation with time delay has a natural probabilistic structure, i.e. is approximately Gaussian, as t → ∞. The proof uses ideas from the DeMoivre proof of the Central Limit Theorem. It follows that solutions of the hyperbolic equation look approximately like solutions of a diffusion equation with constant convection a...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1996
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500031529