M. and M.   Abstract: Existence and uniqueness of solution for singular 2-D systems depends on regularity condition. Simple regularity implies regularity and under this assumption, the generalized wave model (GWM) is introduced to cast singular 2-D system of equations as a family of non-singular 1-D models with variable structure.These index dependent models, along with a set of boundary co...

Abstract In this chapter, we prove Theorem 1.4 . As in the original work of Weiss (see [52]), will use so-called Federer’s dimension reduction principle, which first appeared [32].

In this paper, a numerical method for solving the constrained optimal control of time-varying singular systems with quadratic performance index is presented. Presented method is based on Bernste in polynomials. Operational matrices of integration, differentiation and product are introduced and utilized to reduce the optimal control of time-varying singular problems to the solution of algebraic ...

In this paper we study a two-phase free boundary problem for a semilinear elliptic equation on a bounded domain $Dsubset mathbb{R}^{n}$ with smooth boundary‎. ‎We give some results on the growth of solutions and characterize the free boundary points in terms of homogeneous harmonic polynomials using a fundamental result of Caffarelli and Friedman regarding the representation of functions whose ...

this article aims at defining ricest stemmer in persian language set up in the regional information center for science and technology (ricest). we applied linguistic knowledge and standard algorithms to extract machine-readable rules. in addition, plural suffixes and exceptions of which compound nouns are a part were applied. different parts of singular-stemmer and their functions are described.