We investigate the existence and asymptotic behavior of positive, radially symmetric singular solutions of w′′ N − 1 /r w′ − |w|p−1w 0, r > 0. We focus on the parameter regime N > 2 and 1 < p < N/ N − 2 where the equation has the closed form, positive singular solution w1 4 − 2 N − 2 p − 1 / p − 1 2 1/ p−1 r−2/ p−1 , r > 0. Our advance is to develop a technique to efficiently classify the behav...

amr bayn al-amrayn (principle of middle position) is amongst the fundamentals of the shī‘ī intellectual doctrines. it is attempted in this paper to demonstrate the genuineness and integrity of the theory of amr bayn al amrayn according to the principle of unity of divine acts and autonomous creatorship of god, the original principle of causality as well as the principle of analogical gradation ...

A non-autonomous oscillator with unilateral constraint is modelled using the nonstandard analysis. Existence and continuous dependence on initial conditions is obtained.

The existence of a natural and projectively equivariant quantization in the sense of Lecomte [20] was proved recently by M. Bordemann [4], using the framework of Thomas-Whitehead connections. We give a new proof of existence using the notion of Cartan projective connections and we obtain an explicit formula in terms of these connections. Our method yields the existence of a projectively equivar...

The purpose of this paper is to investigate the existence of periodic solution of a general neutral delay twospecies competitive non-autonomous system. With the help of the continuation theorem for composite coincidence degree and some techniques, a set of sufficient conditions are derived for the existence of at least one strictly positive periodic solution. Furthermore, some numerical simulat...

Given an autonomous first order algebraic ordinary differential equation F(y,y′)=0, we prove that every formal Puiseux series solution of expanded around any finite point or at infinity, is convergent. The proof constructive and provide algorithm to describe all such solutions. Moreover, show for in the complex plane there exists a which defines analytic curve passing through this point.