In this paper, the stability and boundedness of solutions of a second order nonlinear vectordifferential equation are investigated. Our results include and improve some well-known results in therelevant literature.

Let G be a locally compact group, and let ω be a weight on G. We show that the weightedmeasure algebra M(G,ω) is amenable if and only if G is a discrete, amenable group andsup{ω(g) ω(g−1) : g ∈ G}

We obtain sufficient conditions for the series Σanλn to be absolutely summable of order k by atriangular matrix.

Scott and Szewczyk in Technometrics, 2001, have introduced a similarity measure for twodensities f1 and f2 , by1, 21 21 1 2 2( , ), ,f fsim f ff f f f=wheref1, f2 f1(x, θ1)f2(x, θ2)dx.+∞−∞=∫sim(f1, f2) has some ...

In the present paper we define strongly Δn -summable sequences which generalize A-summablesequences and prove such spaces to be complete paranormed spaces under certain conditions, sometopological results have also been discussed.

Finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. However, the coupling of these two methods happens to be more efficient as it combinestheir merits. In this paper, ...

A 2-D heat conduction model has been solved by using the Adomian Decomposition Method topredict the transient temperature and heat flux distribution in a thick solid that is irradiated by a laser source.The laser source ...