Positive solutions of a renewal equation

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

Triple Positive Solutions for Boundary Value Problem of a Nonlinear Fractional Differential Equation

Positive solutions for a quasilinear Schrödinger equation

We consider the quasilinear problem −εpdiv(|∇u|p−2∇u) + V (z)up−1 = f(u) + up−1, u ∈W (R ), where ε > 0 is a small parameter, 1 < p < N , p∗ = Np/(N − p), V is a positive potential and f is a superlinear function. Under a local condition for V we relate the number of positive solutions with the topology of the set where V attains its minimum. In the proof we apply Ljusternik-Schnirelmann theory...

On the Positive Solutions of Matukuma Equation

3/(1 + r2) for (1.2) with p = 3 which confirms part of his conjecture. Since then there seems to be very little mathematical contribution in the literature on this equation until the recent works of W.-M. Ni and S. Yotsutani [NY1,2], Y. Li and W.-M. Ni [LN2], and E.S. Noussair and C.A. Swanson [NS]. First, it was observed in [NY2] and [LN2] that Eddington’s model does not have any positive enti...

Positive Solutions of Neutral Delay Difference Equation

Neutral delay difference equations with variable delays are studied in this paper. Using the method of generalized characteristic equations, we give conditions for the existence of positive solutions.