Results 271 to 280 of about 637,407 (329)

Existence and Uniqueness Theorems

2010
In this chapter we are concerned with the first-order vector differential equation $$x^\prime = f(t, x).$$
Walter G. Kelley, Allan C. Peterson
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Existence and uniqueness results for a class of p(x)-Kirchhoff-type problems with convection term and Neumann boundary data

Journal of Elliptic and Parabolic Equations, 2022
C. Allalou, Mohamed El Ouaarabi, S. Melliani   +2 more
semanticscholar   +1 more source

On the existence and uniqueness of solution to a stochastic 2D Allen–Cahn–Navier–Stokes model

Stochastics and Dynamics, 2019
We study, in this paper, a stochastic version of a coupled Allen–Cahn–Navier–Stokes model in a two-dimensional (2D) bounded domain. The model consists of the Navier–Stokes equations (NSEs) for the velocity, coupled with a Allen–Cahn model for the order ...
T. T. Medjo
semanticscholar   +1 more source

Existence and Uniqueness Results

1994
Existence and uniqueness theorems play a very central part in the theory of partial differential equations, particularly in the context of mathematical physics. The well-posedness of a Cauchy or boundary value problem is of tantamount importance for the physical interpretation and/or practical application of the equation under consideration.
Carlo Cercignani, Reinhard Illner, Mario Pulvirenti   +2 more
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Existence and Uniqueness Results

1990
In this chapter the existence of the Nash-Cournot equilibrium point in the multiproduct oligopoly game will be first investigated. Then on the basis of the general results special cases will be examined. These include models with product differentiation and the classical Cournot model.
Koji Okuguchi, Ferenc Szidarovszky
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Existence and uniqueness of solutions to the Orlicz Aleksandrov problem

Calculus of Variations and Partial Differential Equations, 2022
Yibin Feng, Shengnan Hu, Weiru Liu
semanticscholar   +1 more source

Stability, existence and uniqueness

2009
Abstract This chapter develops the stability theory needed for the existence of the classical partition. This is extended to quantum stability with emphasis on the physically important case of nonrelativistic quantum mechanics with Coulomb interactions. The existence and uniqueness of the thermodynamic limit is discussed in detail.
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The Existence and Uniqueness of Solution for Tensor Complementarity Problem and Related Systems

Journal of Optimization Theory and Applications, 2021
Lu-Bin Cui, Yu-Dong Fan, Yisheng Song, Shiliang Wu   +3 more
semanticscholar   +1 more source

Existence and Uniqueness Results

2014
This chapter deals with existence and uniqueness results for variational and quasi-variational inequalities. With the intention of focusing the differences among the proofs of results, we first consider elliptic variational inequalities of the first and second kind with linear and continuous operators in Hilbert space or monotone and hemicontinuous ...
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Existence and Uniqueness Theorems

1986
In this chapter our ultimate goal is to show the existence and uniqueness of solutions to certain ordinary differential equations. To do so we use the setting of the previous chapter, a Banach space, and a device known as a contraction mapping. The results are then applied to an integral equation.
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