x(0)=x(1)=0,x″(0)=x″(1)=0 ,where λ is a constant, and a satisfies condition (H), such an argument is proved that the singular boundary value problem is a linear self adjoint completely continuous differential operator. The spectral of the singular boundary value problems of the fourth order linear differential equation is obtained by means of the spectral theory of linear self adjoint completely continuous operator.

Role orientation of the government is of vital importance after China's entry into the WTO,whose basic problem lies in the relations between the government and the markets.

The practice demonstrated that provided control was proper it was able to get same effect as one-step pretreatment with H2O2. The problem lies in yellowing during storing.

This research shows that to study the nature and feature of social crime with quantitative method, the key problem lies in the reliability of criminal statistical pattern and the selection of parameter.

Followed by introduction of its developing tendency in foreign countries and its present condition in our domestic commercial banks, the paper gives a thought-provoking analysis of the current situation and existing problems of intermediate business in Z Commercial Bank, pointing out that the main problem lies in the inadequate attention, organizing and managing system in lack of resultant force and unreasonable structure of products and deficient sales force.

Internal management, whose core problem lies in the management of people, which makes management of human resources become more and more important in the mind of modern managers.

Contact problem is an important portion in the tribological problem analysis,because the non linearity of contact problem makes the engineering analysis and research relatively difficult.

Traffic problem is an important problem all over the world, it has seriously influenced the society, how to solve it is the key problem people pay attention to, now,?

The Optimization design of switched reluctance motor drives(SRD) system is a problem which is a nonlinear programming with many constraints and many discrete variables. This paper studies the discrete (mixture discrete)variable programming and presents an improved pattern-search method.

The behavior of the finance shifting its responsibility onto the central bank is a problem，which deserves being taken seriously in the coordination of financial and monetary policies.

The mission of scheduling reconnaissance satellite is to allocate satellite system's resources optimally under temporal and dimensional constraints,it is a problem of objective scheduling with multiple constraints.

The zonal linearization method is a development of the scheme described in [2-4], and the method of solving the Cauchy problem is a generalization of the methods described in [4-13].

In this formulation the problem is a similarity one, but permits a complete analytic investigation with a qualitative analysis of the process on the basis of the exact solutions.

The Riemann boundary problem is studied under the assumption that the coefficient of the problem is a complex orthogonal matrix.

The eigenfunction system of a hydrodynamical problem is a Riesz basis

In the paper we study a boundary value problem for a hyperbolic equation with two independent variables; this problem is a generalization of the well-known Darboux problem.

The usability is a dynamic order of the praxis in which the thing is embedded and in which we are ourselves de-centered.

Part I, 'The Philosopher's Desire: Making an Exception, or "The Thing Is...''', recounts Strauss' central account of the complex relationship between philosophy and 'the city'.

Part I, 'The Philosopher's Desire: Making an Exception, or "The Thing Is...''', recounts Strauss' central account of the complex relationship between philosophy and 'the city'.

Again both wires are equivalent and the thing is reversible.

And the thing is you've got to keep contacting people.

At that, the main characteristic of the optimization problem lies in the specific parameterized representation of the set of the control laws from which the optimal solution is selected.

Yet another problem lies in interpreting negative cumulant-moment values, which are considered as an indication of a changeover from attraction to repulsion in sets of specific particle content.

One type of problem lies in trying to anticipate what level or degree of cultural involvement is likely to be met with.

The real problem lies in how one should distinguish between the different relationships with perception of singular beliefs and of universal beliefs, and in how singular beliefs can provide justification for universal beliefs.

It is concluded that a solution to this dual isolation problem lies in a semi-active mount capable switching its properties from 'operation-optimum' to 'seismic-optimum' at the onset of a seismic event.

The thermistor problem is an initial-boundary value problem of coupled nonlinear differential equations.

A common solution to this problem is an employment of BLAST, which may miss significant alignments, or an exhaustive Smith-Waterman algorithm, which is very time-consuming.

Since the problem is an ill-posed one, the Tikhonov regularization proves useful.

The solution of the problem is an oscillatory decaying function of the monomer concentration as the total dye concentration in the monolayer increases.

The Sturm-Coulomb problem is an integrable one since its symmetry group is O(4).

In ordinary sampled-data control systems the system response to a step input can reach its equilibrium state only within n or more sampling intervals (n is the order of the controlled plant). In this paper multiple-impulses are used, instead of ordinary simple impulses, to speed up the system response. In such sampled data systems the system response to step input can reach its equilibrium state within less than n, even one, sam-pling intervals. Methods of design of such kind of sampled-data systems and their...

In ordinary sampled-data control systems the system response to a step input can reach its equilibrium state only within n or more sampling intervals (n is the order of the controlled plant). In this paper multiple-impulses are used, instead of ordinary simple impulses, to speed up the system response. In such sampled data systems the system response to step input can reach its equilibrium state within less than n, even one, sam-pling intervals. Methods of design of such kind of sampled-data systems and their com-ponents are discussed. In the last part of the paper methods of compensating sampled data systems with dead time elements is also considered.

In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in n-dimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into the...

In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in n-dimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into the given final region of states. Some conclusions are obtained from the maximum principle by using transversal conditions of optimal trajectories in terminal points, and the particular properties of the stated problem are pointed out. The case of linear dif-ferential equations with integral quadratic functional criterion is investigated in detail.Further, in the second part the fundamental properties of isoloss regions, the rela-tions between the isoloss region and optimal control functions are indicated. As a direct result a partial differential equation determining the optimal loss-function J (x) is found and the connection between function J (x)and optimal vector control function u (x) is also stated. The methods proposed are practically the extension of the me-thods used by us for designing time optimal control systems as seen in [5, 6 ,7].Finally, an example is illustrated with optimal trajectories shown in phase plane.The necessary numerical data is calculated by an analog computer with high accuracy.

Analysis of the low frequency response of automatic balancing D-C amplifier with mechanical chopper is illustrated by a typical circuit in this paper. The analysis of dynamic response of the modulation and the demodulation circuits and the auxiliary carrier wave amplifier have been considered more in details. The analysis is based on solving difference equations since the intrinsic working process behaved by the M-D M circuits using mechanical chopper is more accurately described by difference equation other...

Analysis of the low frequency response of automatic balancing D-C amplifier with mechanical chopper is illustrated by a typical circuit in this paper. The analysis of dynamic response of the modulation and the demodulation circuits and the auxiliary carrier wave amplifier have been considered more in details. The analysis is based on solving difference equations since the intrinsic working process behaved by the M-D M circuits using mechanical chopper is more accurately described by difference equation other than by differential equations.