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This paper is devoted to prove the generalized Φ-accretive mapping A : D(A) ⊆ E → 2E or generalized Lipschitz and generalized α - accretive with some specific conditions, then sequence {xn} generated by the steepest descent approximation method which converges strongly to a solution x* of the equation Ax = 0, furthermore, the global convergence theorem is proved.
Spur gear servomechanism is widely used in photoelectric stabilization platform and other weapon system, its resonance characteristic directly determines the bandwidth, gain and stability of the whole subsystem. Taking Spur gear servo mechanisms as research aim, three degrees of freedom vibration differential equation of gear mesh is theorized, and the resonance equation of the servo mechanism is...
Based on analyzing the properties of Legendre wavelets, the extended Legendre wavelets, defined on interval (-r, r), is achieved and its properties are considered. According to the translation property of Legendre wavelets, another method for computing operational matrix of integration P is presented through integrating on subintervals. Furthermore a numerical example for solving linear differential...
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