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Nonlinear Volterra Integro-Differential Equations
2011It is well known that linear and nonlinear Volterra integral equations arise in many scientific fields such as the population dynamics, spread of epidemics, and semi-conductor devices. Volterra started working on integral equations in 1884, but his serious study began in 1896. The name integral equation was given by du Bois-Reymond in 1888.
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Generalized Volterra Integro-Differential Equations
2016In this chapter we describe the Adomian decomposition method for generalized Volterra integro-differential equations of the second kind.
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Volterra-Fredholm Integro-Differential Equations
2011The Volterra-Fredholm integro-differential equations [1–4] appear in two types, namely: $${u^{\left( k \right)}}\left( x \right) = f\left( x \right) + {\lambda _1}\int_a^x {{K_1}\left( {x,t} \right)u\left( t \right)dt + {\lambda _2}\int_a^b {{K_2}\left( {x,t} \right)u\left( t \right)dt} ,} $$ (9.1) and the mixed form $${u^{\left( k \right)
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