The Existence and Uniqueness of Solutions
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM
... the existence and uniqueness of solutions for the fractional order difference equations in the presence of antiperiodic boundary conditions are ...
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The Existence and Uniqueness of Solutions for Mean Reverting γ Process
... λ in the long term. When γ = 1 2 , the Equation (1.1) is the well-known mean-reverting square root process [3]. Like the Vasicek model, the mean-reverting square root process also has a mean-reverting property. More ...
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Existence and uniqueness of solutions of Hahn difference equations
... This article was devoted to establish the method of successive approximations in prov- ing the existence and uniqueness of solutions of the initial value problems associated with Hahn difference ...
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Existence and uniqueness of solutions of higher order antiperiodic dynamic equations
... the existence and uniqueness of solutions of the dynamic equations of first- and second-order, respectively; likewise, we will give details about the continuous case where a dynamic equation is a di ...
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Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
... the existence and uniqueness of solutions for various equations, including ordinary differential equations, partial differential equa- tions, functional differential equations, and so ...the ...
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Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
... 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 ...
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Existence and uniqueness of solutions for random impulsive differential equation
... 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 ...
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Local existence and uniqueness of solutions of a degenerate parabolic system
... In recent years, degenerate parabolic systems are of particular interests since they can take into account nonlinear diffusion occurring in the phenomena appearing in the models, and have been extensively studied by many ...
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Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem
... 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 ...
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Existence and uniqueness of solutions for nonlocal p Laplacian problems
... 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 ...
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Uniqueness and existence of positive solutions for the fractional integro-differential equation
... the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value ...the uniqueness and existence of positive ...
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Existence and Uniqueness of Global Smooth Solutions for Vlasov Maxwell Equations
... 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 ...
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Existence and uniqueness of solutions for a semilinear elliptic system
... 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 ...
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A note on the existence and uniqueness of the solutions to SFDES
... the existence and uniqueness of the solutions to the Equation ...and uniqueness of the solutions to ISDEs under an alternative ...
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On the existence and uniqueness of solutions to boundary value problems on time scales
... 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 ...
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Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations
... 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 ...
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On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
... 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 ...
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Global Attractor of Two Dimensional Strong Damping KDV Equation and Its Dimension Estimation
... ABSTRACT Firstly, a priori estimates are obtained for the existence and uniqueness of solutions of two dimensional KDV equations, and prove the existence of the global attractor, finally[r] ...
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Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations
... 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 ...
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Solutions of the nonlinear diffusion equation : existence, uniqueness, and estimation
... V TABLE OF CONTENTS STATEMENT ii ACKNOWLEDGEMENTS iii iv ABSTRACT INTRODUCTION CHAPTER 1 1.0 The equations to be solved 1 1.1 Exact solutions 4 1.2 Approximate solutions 5 EXISTENCE, UNI[r] ...
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