Let $Rin textbf{C}^{mtimes m}$ and $Sin textbf{C}^{ntimes n}$ be nontrivial involution matrices; i.e., $R=R^{-1}neq pm~I$ and $S=S^{-1}neq pm~I$. An $mtimes n$ complex matrix $A$ is said to be an $(R, S)$-symmetric ($(R, S)$-skew symmetric) matrix if $RAS =A$ ($ RAS =-A$). The $(R, S)$-symmetric and $(R, S)$-skew symmetric matrices have a number of special properties and widely used in eng...

in this paper , numerical solotion of abel's integral equationby using the taylor expanssion of the unknown functionvia collection method based on sinc is considered...

researchers paid special attention to statistical stylistics studies such that recognition and discrimination of different styles in every text can be possible applying this method. bosiman's statistical stylistics is quantitative but not qualitative.  in this study, we have investigated examples of hamedani's and yazeji's maqamat based on bosiman's equation in the paper. th...

Consider the second-order nonlinear dynamic equation [r(t)x(ρ(t))] + p(t)f(x(t)) = 0, where p(t) is the backward jump operator. We obtain a Kwong-Wong-type integral equation, that is: If x(t) is a nonoscillatory solution of the above equation on [T0,∞), then the integral equation rσ(t)x∆(t) f(xσ(t)) = P(t) + Z ∞ σ(t) rσ(s)[ R 1 0 f (xh(s))dh][x ∆(s)]2 f(x(s))f(xσ(s)) ∆s is satisfied for t ≥ T0,...

in this paper, we consider the inhomogeneous time-fractional nonlinear fisher equation with three known boundary conditions. we first apply a modified homotopy perturbation method for translating the proposed problem to a set of linear problems. then we use the separation variables  method to solve obtained problems. in examples, we illustrate that by right choice of source term in the modified...

in this paper, we find explicit solution to the operator equation$txs^* -sx^*t^*=a$ in the general setting of the adjointable operators between hilbert $c^*$-modules, when$t,s$ have closed ranges and $s$ is a self adjoint operator.