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Integro-Differential Equations

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Integro-Differential Equations 

equations containing both integrals and derivatives of an unknown function. An example is the equation obtained by the Italian mathematician V. Volterra in the problem of torsional oscillations:

Sometimes integro-differential equations can be reduced to integral equations or differential equations. A solution to an integro-differential equation may be sought by the method of successive approximations.



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Each field of this kind is related to an autonomous system of integro-differential equations of the kind [d.
Generally, second-order linear Fredholm integro-differential equations can be defined as follows: p(x)y"(x) + q(x)y'(x) + r(x)y(x) + [[integral].
It is known that integro-differential equations arise from many fields of science, for example in applied areas which include engineering, mechanics, financial mathematics, etc.
 
 
 
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