[PDF] Top 20 The Existence and Uniqueness of Solutions for Mean Reverting γ Process

... the existence and uniqueness of the solution of Equation (1.1) when γ ≥ 1 ...the existence and non-negative of the solution of Equation (1.1) when γ ∈ [ 1 2,1 ] ... See full document

... The aim of this paper is to establish an existence and uniqueness result of solutions of the first order abstract Hahn difference equations by using the method of successive ap- proximations. This ... See full document

... prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general nth problem in time scales with linear dependence on the ith ∆ - derivatives for i = 1, ... See full document

... Abstract. We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the Schaefer’s fixed ... See full document

... local existence of solutions to the Dirichlet initial boundary value ...the uniqueness of the solution if the reaction terms satisfy the Lipschitz ... See full document

... the existence and uniqueness of solutions for various equations, including ordinary differential equations, partial differential equa- tions, functional differential equations, and so ...the ... See full document

... We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particu- lar case, the system ... See full document

... In this chapter, we are going to establish the existence and uniqueness of global smooth solutions for the system in 1.5 under a sufficient condition. To derive the sufficient condition, we shall ... See full document

... global existence and uniqueness of strong solutions of problem ...the existence and regularity questions more difficult than the usual case that the initial density ρ 0 has a positive lower ... See full document

... the existence and uniqueness of periodic solutions for equations ...periodic solutions is crucial; and () it is non-trivial to establish a unified framework to handle the prescribed ... See full document

... the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed point ... See full document

... the existence and uniqueness of the solutions to the Equation ...and uniqueness of the solutions to ISDEs under an alternative ... See full document

... the solutions of the differential systems are stochastic ...of solutions to these models by Liapunov’s direct function in ...the existence and uniqueness of random impulsive differential ... See full document

... the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value ...the uniqueness and existence of positive ... See full document

... 1. Introduction. In [9] and [5] models for coupled radiative-conductive heat transport are discussed. These models can be expressed as nonlinear systems of transport and diusion equations. The purpose of this paper is to ... See full document

... In order to guarantee that r ∆∆ (ρ(c)) exists, both y ∆∆ (t) and [y(σ(t))] ∆ must exist, since r(t) = y(t), y(t) is the inner product of two functions. As remarked in [6], the product of two functions is not necessarily ... See full document

... In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equa- tions and extension of this type of integral equations. The result is obtained by using the coupled fixed ... See full document

... the existence of the solution to a Cauchy problem for ordinary differential equations (ODE) of finite order and then to use an a priori estimate to establish the convergence of these solutions of ODE to the ... See full document

... 9. Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, San Diego ... See full document

... fundamental solutions of fractional evolution equations”, Chaos, Solitons and Fractals, vol.14, no.3, 2002, pp.433-440. [24] M. M. El-Borai, “On some stochastic fractional integrodifferential equations”, Advances ... See full document