Results 51 to 60 of about 1,609,595 (239)
We consider a singularly perturbed boundary value problem ( − ε 2 ∆ + ∇ V · ∇ ) u ε = 0 in Ω , u ε = f on ∂ Ω , f ∈ C ∞ ( ∂ Ω ) .
Denis I. Borisov, Oskar A. Sultanov
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Distributed Delay Differential Equation Representations of Cyclic Differential Equations [PDF]
Compartmental ordinary differential equation (ODE) models are used extensively in mathematical biology. When transit between compartments occurs at a constant rate, the well-known linear chain trick can be used to show that the ODE model is equivalent to an Erlang distributed delay differential equation (DDE).
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Developing Clean Technology through Approximate Solutions of Mathematical Models [PDF]
In this paper, the role of mathematical modeling in the development of clean technology has been considered. One method each for obtaining approximate solutions of mathematical models by ordinary differential equations and partial differential ...
Anake, T. A.
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On the asymptotic expansion of certain plane singular integral operators
We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit representations for these operators.
Vladimir Vasilyev
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Differential equations over octonions
Differential equations with constant and variable coefficients over octonions are investigated. It is found that different types of differential equations over octonions can be resolved. For this purpose non-commutative line integration is used.
A.G. Kurosh +10 more
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Functional Methods in Stochastic Systems
Field-theoretic construction of functional representations of solutions of stochastic differential equations and master equations is reviewed. A generic expression for the generating function of Green functions of stochastic systems is put forward ...
A.N. Vasiliev +9 more
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Stochastic Differential Equations
AbstractWhen a system is acted upon by exterior disturbances, its time-development can often be described by a system of ordinary differential equations, provided that the disturbances are smooth functions. But for sound reasons physicists and engineers usually want the theory to apply when the noises belong to a larger class, including for example ...
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PDEs in Moving Time Dependent Domains
In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given initial domain.
AJ Chorin +5 more
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In this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions.
TADEUSZ JANKOWSKI
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Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier +2 more
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