An all new technique has been devised to solve non-linear LaneEmden type equations. This novel technique is based on the Perturbation Iteration Algorithm. In this paper, a few examples are presented for the illustration of the power and wide usability of the proposed method. Moreover, a compare and contrast with the actual solution is provided. It has been evaluated that by employment of this m...

The paper covers questions relating to the existence, explosion, and prevention of explosion, of solutions of stochastic functional differential equations (SFDEs) of Itô type. It is well-known that solutions of a deterministic ordinary differential equation x(t) = f(x(t)) can explode in finite time if the function f does not obey a global linear bound; however, uniqueness up to the explosion ti...

Bound state perturbation theory applies to the bound states of perturbed systems, for which the energy levels are discrete and separated from one another. The system may also have a continuous spectrum, but the interest is attached to the discrete states. The effects of perturbations on states of the continuous spectrum, or on discrete states imbedded in the continuum, require different techniq...