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Geometrical structures, which are more general than affine and projective planes, are obtained by taking a class of points instead of a point, a class of lines instead of a line, and by reorganizing the incidence relation [2].
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Thus, in this work, the design requirements in terms of tracking accuracy, biaxial synchronization, and resonant mode suppression are achieved by integrated optimization of the stiffness of flexures and PID controller parameters for a class of point-to-point reference trajectories with same dynamics but different steps.
A general way to define a class of change point models is to assume a polynomial regression model of degree d 1 before the change point, and a polynomial regression model of degree d 2 after, see, e.g., Rudoy et al.
Lin [9] introduced an algorithm for solving a class of multi-point BVPs by constructing reproducing kernel (RK) satisfying multi-point boundary conditions.
In Section 2 we establish the lemma of lower-upper solutions for a class of two-point boundary value problems with interface conditions by the Schauder fixed point theorem, which will be used to prove our main result.
Ahmad and Sivasundaram [14] studied a class of four-point nonlocal boundary value problem of nonlinear integrodifferential equations of fractional order by applying some fixed point theorems.
By making use of an alternating Kronecker product splitting iteration technique we establish a class of fixed-point iteration methods.
A class of interior point algorithms based on the solution of the first-order optimality conditions is considered here.
Experimental investigations were carried out with the aim of evaluating the ozone generation characteristics of a class of multi-point corona electrodes employed for direct treatment of potable and industrial water.
The paper considered a class of two-point boundary-value problems of the form(1 d4ydx4+f(x y= g(x),a⩽x⩽b, 2 y(a)="A1,y(b)="A2,y′(a)="B1,y′(b)="B2,where f(x) and g(x) are continuous on [a, b], and Ai and Bi (i = 1, 2) are finite real constants.
In this paper, we consider a class of infinite-point boundary value problems of fractional differential equations on the infinite interval ([0,+infty)) with a disturbance parameter.
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