“integro-differential equation”的概念、定义、翻译、参考文献-科学参考

integro-differential equation

Computer

Any equation for an unknown function involving integrals and derivatives of the function. Many different types can arise and there is no straightforward classification. The initial-value problem (see ordinary differential equations) given by
$\begin{array}{l} f' (x) = F (x, f (x), \int_{a}^{x} K (x, y) f (y) d y) \\ f (a) = f_{0} \end{array}$
also contains features common to Volterra integral equations (see integral equation). Boundary-value problems and equations involving partial derivatives also occur in practice.

单词	integro-differential equation
释义	integro-differential equation Computer Any equation for an unknown function involving integrals and derivatives of the function. Many different types can arise and there is no straightforward classification. The initial-value problem (see ordinary differential equations) given by $\begin{array}{l} f' (x) = F (x, f (x), \int_{a}^{x} K (x, y) f (y) d y) \\ f (a) = f_{0} \end{array}$ also contains features common to Volterra integral equations (see integral equation). Boundary-value problems and equations involving partial derivatives also occur in practice.
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