in this paper, we study rst order linear fuzzy dierential equations with fuzzy coecient and initial value. we use the generalized dierentiability concept and apply the exponent matrix to present the general form of their solutions. finally, one example is given to illustrate our results.

Nonlinearity is ubiquitous in physical phenomena. Fluid and plasma mechanics, gas dynamics, elasticity, relativity, chemical reactions, combustion, ecology, biomechanics, and many, many other phenomena are all governed by inherently nonlinear equations. (The one notable exception is quantum mechanics, which is a fundamentally linear theory, although recent attempts at grand unification of all f...

Electric circuits and river networks share similarities in both their network structure and derivation from conservation principals. However, the disciplines have evolved separately and developed methods and models. This paper presents the foundations for network analysis for both disciplines and shows how numerical methods developed for circuit simulations can significantly improve river netwo...

1.0.1 Description of the problem We consider two m × p strictly proper transfer functions T (s) = C(sI n − A) −1 B, ˆ T (s) = ˆ C(sI k − ˆ A) −1ˆB, (1.1) of respective Mc Millan degrees n and k < n. We are interested in finding the necessary and sufficient conditions for the existence of projecting matrices Z, V ∈ C n×k such that and in characterizing the set of all transfer functionsˆT (s) tha...

We recall the main facts about the representation of regular linear systems, essentially that they can be described by equations of the form x(t) = Ax(t) + Bu(t), y(t) = Cx{t) + Du(t), like finite dimensional systems, but now A, B and C are in general unbounded operators. Regular linear systems are a subclass of abstract linear systems. We define transfer functions of abstract linear systems vi...

This paper examines the factors determining the distribution, length scale, magnitude, and structure of mesoscale oceanic eddies in an eddy-resolving primitive equation simulation of the Southern Ocean [Modeling Eddies in the Southern Ocean (MESO)]. In particular, the authors investigate the hypothesis that the primary source of mesoscale eddies is baroclinic instability acting locally on the m...

A generalized and systematic approach to the problem of dead-beat response to polynomial time-domain inputs is presented. Necessary and sufficient conditions for the impulse response coefficients of the system, in the form of a set of linear equations, are derived. For the case of minimum prototype systems, a formula for the explicit computation of the overall pulse transfer function of the sys...

In this work we consider the solution of the linear systems arising from electromagentism applications by preconditioned Krylov subspace methods [3]. Simulation of electromagnetic wave propagation phenomena requires the numerical solution of Maxwell’s equations which it is often done by means of integral equation methods. The discretization of the integral equations with the boundary element me...