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单词 integro-differential
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 + a2t0xdt = 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.
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