Nonlinear characteristics of circular-cylinder piezoelectric power harvester near resonance based on flow-induced flexural vibration mode

The nonlinear behaviors of a circular-cylinder piezoelectric power harvester （CCPPH） near resonance are analyzed based on the flow-induced flexural vibration mode. The geometrically-nonlinear effect of the cylinder is studied with considering the in-plane extension incidental to the large defection. The boundary electric charges generated from two deformation modes, flexure and in-plane extension, were distinguished with each other because the charge corresponding to the latter mode produces no contribution to the output current. Numerical results on output powers show that there are multi- valuedness and jump behaviors.

DESIGN OF TERNARY CURRENT-MODE CMOS CIRCUITS BASED ON SWITCH-SIGNAL THEORY

By applying switch-signal theory, the interaction between MOS transmission switch-ing transistor and current signal in current-mode CMOS circuits is analyzed, and the theory oftransmission current-switches which is suitable to current-mode CMOS circuits is proposed. Thecircuits, such as ternary full-adder etc., designed by using this theory have simpler circuit struc-tures and correct logic functions. It is confirmed that this theory is efficient in guiding the logicdesign of current-mode CMOS circuits at switch level.

MULTI-VALUED QUASI VARIATIONAL INCLUSIONS IN BANACH SPACES

The purpose is to introduce and study a class of more general multivalued quasi variational inclusions in Banach spaces. By using the resolvent operator technique some existence theorem of solutions and iterative approximation for solving this kind of multivalued quasi variational inclusions are established. The results generalize, improve and unify a number of Noor's and others' recent results.

AN ITERATIVE ALGORITHM FOR MAXIMAL MONOTONE MULTIVALUED OPERATOR EQUATIONS

A proximal iterative algorithm for the mulitivalue operator equation 0 ∈ T(x) is presented, where T is a maximal monotone operator. It is an improvement of the proximal point algorithm as well know. The convergence of the algorithm is discussed and all example is given.

On the Approximation Solvability of the Abstract Differential Inclusion

The approximation solvability of the abstract differential inclusion du/dt∈f(t,u) is presented. The convergence of the approximation solution and the existence of the solution for abstract evolution multivalued problem are discussed.

The Iterative Solution for a Class of Monotone Operator Equations

The iterative solution for a class of multivalued monotone operator equations just like A(u)∈-B(u) is discussed, where A is a positive definite linear single valued operator, B is a bounded and monotone multivalued operator. The existence and convergence of approximate solutions are proved. The method of numerical realization is demonstrated in some examples.

ITERATIVE APPROXIMATION OF FIXED POINTS FOR MULTIVALUED OPERATORS OF THE MONOTONE TYPE IN UNIFORMLY SMOOTH BANACH SPACES

In this paper, let K be a nonempty subset of a uniformly smooth Banach space X, and T:K→2~k be a multivalued operator of the monotone type. The iterative sequence which converges strongly to the unique fixed point of T is given. Our results are the extension and improvements of the results obtained previously by several authors including Dunn, Chidume, Deng and Ding.

SYNTHESIS OF MULTIVALUED CMOS CIRCUITS WITH MANY VARIABLES BASED ON TRANSMISSION FUNCTION THEORY

Based on transmission function theory,the synthesis technique for multivaluedCMOS circuits is discussed.By comparing the CMOS circuits based on transmission functiontheory with the T gate,it is shown that their action principles are identical.Based on it,thesynthesis method for multivalued CMOS circuits with many variables by using function decom-position is proposed.

Solvability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces

Impulsive neutral differential inclusions play an important role in characterizing many social, physical and engineering problems, and the existence of solutions for the initial value problem in Banach spaces has been extensively studied. However, in most cases, the nonlinear term on the right-hand side of differential inclusions has to satisfy the compact or continuous assumptions. The object of this paper is to study the existence of solutions to the initial value problems of the first and second order impulsive neutral functional differential inclusions in Banach spaces under some weaker conditions, where the nonlinear term on the right-hand side does not necessarily satisfy the compact and continuous assumptions. Based on a fixed point theorem for discontinuous multivalued increasing operators, the results are obtained by means of the partial ordering method and measure of noncompactness.

CONVERGENCE OF INVARIANT MEASURES FOR MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATIONS

This article is concerned with the weak convergence of invariant measures asso- ciated with multivalued stochastic differential equations in the finite dimensional space.

Approximation of thermoelasticity contact problem with nonmonotone friction

The paper presents the formulation and approximation of a static thermoelasticity problem that describes bilateral frictional contact between a deformable body and a rigid foundation. The friction is in the form of a nonmonotone and multivalued law. The coupling effect of the problem is neglected. Therefore, the thermic part of the problem is considered independently on the elasticity problem. For the displacement vector, we formulate one substationary problem for a non-convex, locally Lipschitz continuous functional representing the total potential energy of the body. All problems formulated in the paper are approximated with the finite element method.

OPTIMAL CONTROL OF HYPERBOLIC H-HEMIVARIATIONAL INEQUALITIES WITH STATE CONSTRAINTS

The optimal control problems of hyperbolic H-hemivariational inequalities with the state constraints and nonnomotone multivalued mapping term are considered.The optimal solutions are obtained.In addition,their approximating problems are also studied.

TWO-INPUT PRESETTING TECHNIQUE AND DESIGN OF CMOS FLIP-FLOPS WITH A HIGH RADIX

By analysing the difficulty of previous flip-flops with a high radix, this paper proposes a logic design scheme with two presetting inputs. The circuit of a quaternary CMOS flip-flop is designed by using the transmission function theory. The result shows that its structure is simpler and its processing speed is higher than that of two binary flip-flops which store the equal information.

EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERAL MULTIVALUED MIXED IMPLICIT QUASI-VARIATIONAL INEQUALITIES

A new class of general multivalued mixed implicit quasi-variational inequalities in a real Hilbert space was introduced, which includes the known class of generalized mixed implicit quasi-variational inequalities as a special case , introduced and studied by Ding Xie-ping . The auxiliary variational principle technique was applied to solve this class of general multivalued mixed implicit quasi-variational inequalities. Firstly, a new auxiliary variational inequality with a proper convex , lower semicontinuous , binary functional was defined and a suitable functional was chosen so that its unique minimum point is equivalent to the solution of such an auxiliary variational inequality . Secondly , this auxiliary variational inequality was utilized to construct a new iterative algorithm for computing approximate solutions to general multivalued mixed implicit quasi-variational inequalities . Here , the equivalence guarantees that the algorithm can generate a sequence of approximate solutions. Finally, the existence of solutions and convergence of approximate solutions for general multivalued mixed implicit quasi-variational inequalities are proved. Moreover, the new convergerce criteria for the algorithm were provided. Therefore, the results give an affirmative answer to the open question raised by M. A . Noor, and extend and improve the earlier and recent results for various variational inequalities and complementarity problems including the corresponding results for mixed variational inequalities, mixed quasi-variational inequalities and quasi-complementarity problems involving the single-valued and set- valued mappings in the recent literature .

A CLASS OF PARABOLIC HEMIVARIATIONAL INEQUALITIES

Quasilinear parabolic hemivariational inequalities as a generalization to nonconvex functions of the parabolic variational inequalities are discussed. This extension is strongly motivated by various problems in mechanics. By use of the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators, it is proved there exists at least one solution.

OPTIMAL CONTROL OF PARABOLIC VARIATIONAL INEQUALITIES WITH STATE CONSTRAINT

The optimal control problem of parabolic variational inequalities with the state constraint and nonlinear, discontinuous nonmonotone multivalued mapping term and its approximating problem are studied, which generalizes some obtained results.

THE QUATERNARY INTERFACE TECHNIQUE IN ECL INTEGRATED CIRCUITS

The theory of differential current switches which applies to the design of multivaluedECL circuits is introduced.In this theory,the switching state of differential transistor pairand signal in ECL circuits are described by switching variables and quaternary signal variables,respectively.he connection operations between the two kinds of variables are introduced todescribe the action process between switching element and signal in the circuits.Based on thistheory,two kinds of interface circuits-2-4 encoder and 4-2 decoder are designed.The computersimulation for the designed circuits by using SPICE program confirms that both circuits havecorrect logic functions,desired DO transfer characteristics and transient characteristics.Theseinterface circuits are compatible with binary circuits in the integrated process,the power supplyequipment,the logic stage and the transient characteristic.Therefore,they can be used as input-output interface of the existing binary ECL integrated circuits so as to decrease the number ofpins of a chip and the connections between chips.

LOGICAL SYNTHESIS OF MOLTIVALUED SYMMETRIC FUNCTION BASED ON BINARY FULL ADDERS

This paper discusses the definition and properties of multivalued symmetric functions, points out that a multivalued symmetric function can be decomposed according to the value of the function j. The subfunction Lj corresponding to j must be a symmetric function, and it may be expressed as the sum of products form of degenerated multivalued fundamental symmetric functions. Based on this consideration, the circuit realization for the multivalued symmetric functions based on full adders is proposed.

SIMPLIFICATION OF CURRENT-MODE MULTIVALUED CMOS CIRCUITS

This paper proposes a simplification method for realization of current-mode multivalued CMOS circuits. The key of this method is to find a cover on the K-map for a given multivalued function, which fits to the realization of current-mode CMOS circuits. The design example shows that the design presented in this paper is better than the design proposed by G. W. Dueck et al. (1987).