In this section, based on the power series method, we study the explicit power series solutions of the ODEs obtained in Section 3. Furthermore, the convergence of the power series solutions is strictly proved. The bilinear form and soliton solution In the preceding section, the explicit power ...
An ordinary differential equation involves functions of one independent variable and their derivatives.Definition, Applications of ODE, Order of ODE, problems and solutions at BYJU’S.
They are the so-called s-type and px + ipy-type BCS Hamiltonians. In the particular case of the Lie algebra so(8), the constructed models can be viewed as N = Z proton–neutron integrable models. We find the spectrum of the constructed Hamiltonians in terms of solutions of Bethe-...
First, we establish stability, asymptotic and exponential stability for the trivial solution of generalized ODEs. Secondly, we use the well known correspondence between solutions of generalized ODEs and solutions of measure differential equations, obtaining analogues results for the last equations. Finally...
Introduction The presence of emerging pharmaceutical contaminants has drawn much attention in recent years; however, these substances are inefficiently removed by conventional unit operations utilized by most wastewater treatment plants (WWTPs) due to their intricate properties like high water solubility and...
and the boats are dry, the pilings dry as matches. Absorbing, rather than being absorbed, the water in the bight doesn’t wet anything, the color of the gas flame turned as low as possible. Here are a few examples of poems that clearly utilize nature as one of their main themes: ...