共查询到20条相似文献，搜索用时 31 毫秒
1.
M.K. Aouf 《Journal of The Franklin Institute》2010,347(10):1927-1941
Let denote the class of functions analytic in U={z:|z|<1} which satisfy for fixed M, z=reiθ∈U and
2.
The purpose of this paper is to compute the Hankel transform Fn(y) of order n of a function f(x) and its inverse transform using rationalized Haar wavelets. The integrand is replaced by its wavelet decomposition. Thus representing Fn(y) as a Fourier-Bessel series with coefficients depending strongly on the local behavior of the function , thereby getting an efficient algorithm for their numerical evaluation. Numerical evaluations of test functions with known analytical Hankel transforms illustrate the proposed algorithm. 相似文献
3.
In this paper, we consider multipoint boundary value problem for third-order differential equations with p-Laplacian at resonance
4.
In this paper we stochastically perturb the functional Kolmogorov-type system
5.
Differential subordinations and argument inequalities 总被引：1，自引：0，他引：1
The main object of the present paper is to investigate certain properties of multivalent functions associated with a linear operator . 相似文献
6.
F.B. Gao 《Journal of The Franklin Institute》2011,348(6):1020-1034
We consider an n-dimensional p-Laplacian-like neutral functional differential equation (NFDE) in the form
7.
8.
Muhammet Kamali 《Journal of The Franklin Institute》2007,344(6):867-872
A certain differential operator Dn+p is introduced for functions of the form
9.
M.A. Bokhari 《Journal of The Franklin Institute》2007,344(5):637-645
The n-point Gauss quadrature rule states that
10.
Montgomery multiplication over rings 总被引：1，自引：0，他引：1
Montgomery multiplication of two elements a and b of a finite field Fq is defined as abr-1 where r is a fixed field element in . In this paper we define Montgomery multiplication of elements a(x) and b(x) in a polynomial ring modulo the ideal generated by a reducible polynomial f(x). We then show that Montgomery multiplication over a field represented by a polynomial ring modulo an irreducible pentanomial can be performed more efficiently in terms of time delay by embedding the field in a quotient of a polynomial ring modulo a reducible trinomial. The trinomial has a degree that is slightly higher than that of the pentanomial, thereby increasing the number of gates in the multiplier by a small amount. 相似文献
11.
B.A. Frasin 《Journal of The Franklin Institute》2011,348(6):1013-1019
In this paper, we introduce the integral operator of analytic functions. The order of convexity of this integral operator when γ=1 is determined. Furthermore, we derive sufficient conditions for this operator to be analytic and univalent in the open unit disc. 相似文献
12.
The block entropies computed by lumping and gliding are calculated for the binary expansions of the Feigenbaum constants α and δ, and for . Small but significant deviations from randomness are revealed for the binary expansions of the Feigenbaum constants α and δ, supporting the conclusions of the previous relevant work by the authors. 相似文献
13.
In many phase-locked loop (PLL) applications, the natural pull-in mechanism is too slow and unreliable, and it must be accelerated. By adding an externally-generated ramp to its control voltage input, the PLL voltage controlled oscillator (VCO) frequency can be swept towards the input reference frequency in an attempt to speed up the pull-in process. This popular acquisition aid has a significant limitation when it is used in a second-order, Type II PLL. If the applied ramp voltage has a slope magnitude greater than (alternatively, less than) some value Rm, the PLL state can (alternatively, cannot) sweep past the desired lock point, resulting in a phase lock failure (alternatively, success). In general, the maximum sweep rate magnitude Rm can be computed by using a numerical integration-and-search procedure that is described in the PLL literature. A special case exists for a second-order, Type II PLL that incorporates a triangular-characteristic phase detector (with logic-level binary input signals). For this case, it is possible to develop an exact, closed-form expression for Rm, the main result of this paper. For a range of loop parameters most often used in applications, Rm values are computed by using the exact formula, and these are used in two ways. First, they are used to validate the previously-mentioned numerical integration-and-search procedure. Second, they are compared to maximum sweep rate values computed for a PLL that utilizes a sinusoidal phase detector to show that the triangular-phase-detector PLL can be swept significantly faster than the sinusoidal-phase-detector loop. 相似文献
14.
In this paper, the second order non-linear differential equation
15.
In this paper, we investigated the differential equation
16.
Salim A. Messaoudi 《Journal of The Franklin Institute》2007,344(5):765-776
In this paper we consider the semilinear viscoelastic equation
17.
Cemil Tunç 《Journal of The Franklin Institute》2011,348(7):1404-1415
We establish some sufficient conditions which guarantee asymptotic stability of the null solution and boundedness of all the solutions of the following nonlinear differential equation of third order with the variable delay, r(t)
18.
In this paper, we investigate a class of linear continuous-time systems with Markovian jump parameters. An integral part of the system dynamics is a delayed state with time-varying and bounded delays. The jumping parameters are modeled as a continuous-time, discrete-state Markov process. Employing norm-bounded parametric uncertainties and utilizing the second-method of Lyapunov, we examine the problem of designing a mixed controller which minimizes a quadratic performance measure while satisfying a prescribed -norm bound on the closed-loop system. It is established that sufficient conditions for the existence of the mixed controller and the associated performance upper bound could be cast in the form of linear matrix inequalities. 相似文献
19.
D.N. Chalishajar 《Journal of The Franklin Institute》2007,344(1):12-21
Dhakne and Kendre [On abstract nonlinear mixed Volterra-Fredholm integro-differential equations, Presented Paper in the International Conference at IIT-Bombay, 11-13 December, 2004] has proved the existence of the abstract nonlinear mixed Volterra-Fredholm integro-differential system of the type
20.
Chia-Chi Tsui 《Journal of The Franklin Institute》2004,341(6):465-475
Equation TA−FT=LC (F is stable) is necessary and sufficient for the output of a feedback compensator (F,L,KZ,Ky) to converge to a state feedback (SF) signal for a constant K, where (A,B,C,0) is the open loop system and TB is the compensator gain to the open loop system input. Thus, equation TB=0 is (1) the defining condition for this feedback compensator to be an output feedback compensator. Equation TB=0 is also the necessary and sufficient condition to (2) fully realize the critical loop transfer function and robust properties of SF control if K is systematically designed. Furthermore, because B is compatible to the open loop system gain to its unknown inputs and its input failure signals, TB=0 is also necessary for (3) unknown input observers and (4) failure detection and isolation systems. Finally, this equation pair (TA−FT=LC, TB=0) is the key condition of a really systematic and explicit design algorithm for (5) eigenstructure assignment by static output feedback control. This paper reviews the existing solutions of this equation pair, and points out that a general and exact solution is uniquely direct, simple, and decoupled. This paper also points out that these unique features also enable two decisive advantages: (1) the systematic compensator order adjustment and (2) a simple and approximate solution which is general to all systems (A,B,C,0) and which can be simply added to the exact solution whether it exists or not. 相似文献