In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of Ratz.

This study was conducted in two experiments to evaluate the dietary physical form on dry matter intake (DMI), performance, carcass traits and nutrient digestibility from Kalkuhy (an Iranian fat–tailed breed) male lambs. Initial lamb body weight (BW) average was, 32 .81 ± 2 kg, and 110 ± 10 days of age. Three treatments (diet physical form) included T1: total mixture diet (TMR) mixed diet (MD), ...

this paper a novel homotopy perturbation method has been presented for forced convection boundary layer problems in a porous medium. Noting the infinite condition, a homotopy form which is similar to the singular perturbation form has been considered. The inner and outer solutions have been achieved and the coincidence of the results has been investigated with a proper matching method. The resu...