It is well known that the issue of controllability plays an important role in control theory and engineering (see [1]-[5]) because they have close connections to pole assignment, structural decomposition, quadratic optimal control, observer design etc. In recent years, the problem of controllability for various kinds of differential and impulsive differential systems has been extensively studie...

In this paper we show that for concave piecewise linear exchange economies every competitive equilibrium satisfies the property that the competitive allocation is a non-symmetric Nash bargaining solution with weights being the initial income of individual agents evaluated at the equilibrium price vector. We prove the existence of competitive equilibrium for concave piecewise linear exchange eco...

The use of panel data on spatial regression has many advantages. However, testing the dependency and parameter presumption generated in becomes inaccurate when applied to regions with large numbers small units. One method overcoming problems unit sizes is bootstrap method. research aimed combine cross-section time-series data. analysis was performed extract information based observations modifi...

This paper presents a fixed-end two-mass system (TMS) with end constraints that permits uncoupled solutions for different masses. The coupled nonlinear models for the present fixed-end TMS were solved using the continuous piecewise linearization method (CPLM) and detailed investigation on the effect of mass-ratio on the TMS response was conducted. The investigations showed that increased mass-r...

Since Al-Salam [1] and Agarwal [2] introduced the fractional q-difference calculus, the theory of fractional q-difference calculus itself and nonlinear fractional q-difference equation boundary value problems have been extensively investigated by many researchers. For some recent developments on fractional q-difference calculus and boundary value problems of fractional q-difference equations, s...

In this study, ZnO nanoparticles fixed on glass plates were employed as photocatalysts for the degradation of Acid Red 88 (AR88) dye in aquatic solution. ZnO nanoparticles were synthesized through coprecipitation method and fixed on glass plates. X-ray diffraction (XRD) and scanning electron microscopy (SEM) techniques were used for characterization of nanoparticle samples. A batch reactor equi...