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Volterra Integro-Differential Equations [PDF]
, 2011 Volterra studied the hereditary influences when he was examining a population growth model. The research work resulted in a specific topic, where both differential and integral operators appeared together in the same equation. This new type of equations was termed as Volterra integro-differential equations [1–4], given in the form $${u^{\left( n ...
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A NOTE ON THE BOUNDEDNESS OF AN INTEGRO-DIFFERENTIAL EQUATION
Quaestiones Mathematicae, 2001Mathematics Subject Classification (1991): Primary Classification 45J05; Secondary 45MXX Keywords: Boundedness, Lyapunov functionals, integro-ordinary differential equations, study Quaestiones Mathematicae 24(2) 2001, 213 ...
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Homogenization of the Integro-Differential Burgers Equation
2009The Burgers equation is a fundamental partial differential equation of fluid mechanics and acoustics. It occurs in various areas of applied mathematics, such as the modeling of gas dynamics and traffic flow (see [Ho50] and [Co51]).
Amosov, Andrey, Panasenko, Grigory
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Fredholm Integro-Differential Equations
2011In Chapter 2, the conversion of boundary value problems to Fredholm integral equations was presented. However, the research work in this field resulted in a new specific topic, where both differential and integral operators appeared together in the same equation.
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