Linear cases of Bragg–Hawthorne equation for steady axisymmetric incompressible ideal flows are systematically discussed. The is converted to a more convenient form in spherical coordinate system. A new vorticity decomposition derived. General solutions 16 linear the obtained. These can be specified gain analytical vortex flows, as examples paper demonstrate. lot well-known like potential flow ...
In this paper, we introduce a way of representing given mapping as the sum odd and even mappings. Then, using representation, investigate stability various forms following general nonic functional equation: ∑i=01010Ci(−1)10−if(x+iy)=0.
Abstract We prove the Hyers–Ulam stability of functional equation $$\begin{aligned}&f(a_1x_1+a_2x_2,b_1y_1+b_2y_2)=C_{1}f(x_1,y_1)\nonumber \\ \nonumber \\&\quad +C_{2}f(x_1,y_2)+C_{3}f(x_2,y_1)+C_{4}f(x_2,y_2) \end{aligned}$$ f ( ...
