in this paper a numerical method for solving forth order fuzzy dierentialequations under generalized differentiability is proposed. this method is basedon the interpolating a solution by piecewise polynomial of degree 8 in the rangeof solution . we investigate the existence and uniqueness of solutions. finally anumerical example is presented to illustrate the accuracy of the new technique.

Women are fecund for a shorter period of their lives than men. This paper investigates how di erential fecundity interacts with marriage, labor and nancial markets to a ect gender roles. The main ndings of the paper are: (i) Di erential fecundity does not have any market invariant gender e ect. (ii) Gender roles depend on competition for mates in the marriage market and the way in which ex-post...

Although traditional scale-space theory provides a well-founded framework for dealing with image structures at di erent scales, it does not directly address the problem of how to select appropriate scales for further analysis. This paper introduces a new tool for dealing with this problem. A heuristic principle is proposed stating that local extrema over scales of di erent combinations of norma...

We present alternative algorithms for computing symmetric powers of linear ordinary diierential operators. Our algorithms are applicable to operators with coeecients in arbitrary integral domains and become faster than the traditional methods for symmetric powers of suuciently large order, or over suuciently complicated coeecient domains. The basic ideas are also applicable to other computation...

An initial value problem for y0 = f(t; y) may have an associated event function g(t; y). An event is said to occur at t when g(t ; y(t )) = 0. We consider problems for which the de nition of f(t; y) changes at the time of an event. A number of solvers locate events and restart the integration there so as to deal with the changes in f , but there is little theoretical support for what is done. H...

Continuous system dynamics can be described by possibly large systems of di erential equations These can be either ordinary di erential equations ODEs or contain algebraic constraints as well to form di erential and algebraic equations DAEs Complex systems such as aircraft often operate in di erent modes of continuous operation and when mode changes occur the continuous dynamics change abruptly...

Cartan's di®erential topology is used to construct a method for determining if a process applied to a physical system is thermodynamically irreversible.

Inorganic pigments based on AB2O4 (A = Co, Ni; B Cr, Al) spinel structures with green colour were successfully synthesised by the polymeric route. The effect of substitution trivalent and divalent cations structural, optical morphological properties was investigated. nanopowders examined using thermogravimetry-di?erential thermal analysis (TG-DTA), X-ray diffraction (XRD), scanning electron mic...

this article concerned on the study of signature submanifolds for curves under lie group actions se(2), sa(2) and for surfaces under se(3). signature submanifold is a regular submanifold which its coordinate components are dierential invariants of an associated manifold under lie group action, and therefore signature submanifold is a key for solving equivalence problems.

In this paper we apply a time frequency approach to the study of pseudodi er ential operators Both the Weyl and the Kohn Nirenberg correspondences are considered In order to quantify the time frequency content of a function or distribution we use certain function spaces called modulation spaces We deduce a time frequency characterization of the twisted product of two symbols and and we show tha...