释义 |
integro-differential, a. Math.|ˌɪntɪgrəʊdɪfəˈrɛnʃəl| [ad. It. integro-differenziale (V. Volterra 1909, in Atti d. r. Accad. dei Lincei: Rendiconti (Classe di sci. fisiche) XVIII. i. 167).] Involving both integral and differential quantities.
1914Trans. Amer. Math. Soc. XV. 215 A large part of the theory of integral and integro-differential equations may be reduced to the corresponding theory of algebraic and differential equations by the introduction of convenient symbolism. 1923Bull. Amer. Math. Soc. XXIX. 210 Integro-differential invariants of one-parameter groups of Fredholm transformations. 1930M. Long tr. Volterra's Theory of Functionals 31 As it has the characters of both integral and differential equations, it will be called an integro-differential equation. 1958E. M. Grabbe et al. Handbk. Automation, Computation, & Control I. ix. 18 The method..is applicable to ‘integro-differential equations’ such as the following: a0dx/dt + a1x + a2∫t0xdt = f(t) . 1964N. N. Hancock Matrix Analysis of Electr. Machinery v. 70 The fundamental equations of an electro-dynamic system are inherently integro-differential equations. |