Two positive solutions for second-order quasilinear differential equation boundary value problems with sign changing nonlinearities

AbstractIn this paper, the second order quasilinear differential equation (Φ(y′))′+q(t)f(t,y)=0,0<t<1 subject to Dirichlet boundary conditions and mixed boundary conditions is studied, where f is allowed to change sign, Φ(v)=|v|p−2v,p>1. We show the existence of at least two positive solutions by using a new fixed point theorem in cones

Mission Design for NASA's Inner Heliospheric Sentinels and ESA's Solar Orbiter Missions

This paper will document the mission design and mission analysis performed for NASA's Inner Heliospheric Sentinels (IHS) and ESA's Solar Orbiter (SolO) missions, which were conceived to be launched on separate expendable launch vehicles. This paper will also document recent efforts to analyze the possibility of launching the Inner Heliospheric Sentinels and Solar Orbiter missions using a single expendable launch vehicle, nominally an Atlas V 551

On Collision Local Time of Two Independent Subfractional Brownian Motions

We study the existence of collision local time of two independent subfractional Brownian motions with different coefficients in (-1/2,1/2) using an alternative expression. We prove that the collision local time is a Hida distribution based on the canonical framework of white noise analysis, and get chaos expansions. Finally, we show that the collision local time exists in (L2) under appropriate conditions

Positive Solutions for a Class of Singular Boundary Value Problems with Fractional q

We discuss a class of singular boundary value problems of fractional q-difference equations. Some existence and uniqueness results are obtained by a fixed point theorem in partially ordered sets. Finally, we give an example to illustrate the results