Results 281 to 290 of about 504,362 (312)
Some of the next articles are maybe not open access.
Existence and Uniqueness Theorems
1992A set X equipped with a metric $$d:X \times X \to {R_ + }$$ which satisfies the conditions (the axioms of the metric) $$d\left( {x,y} \right) = 0 \Leftrightarrow x = y,\forall x,y \in X$$ (1) $$d\left( {x,y} \right) = d\left( {y,x} \right)\forall x,y \in X$$ (2) $$d\left( {x,z} \right) \leqslant d\left( {x,y} \right) + d ...
Gheorghe Micula, Paraschiva Pavel
openaire +2 more sources
Existence and Uniqueness Theorems
2010In this chapter we are concerned with the first-order vector differential equation $$x^\prime = f(t, x).$$
Walter G. Kelley, Allan C. Peterson
openaire +1 more source
Existence and Uniqueness Results
1994Existence 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 +2 more
openaire +1 more source
Existence and Uniqueness Results
1990In 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
openaire +1 more source
Stability, existence and uniqueness
2009Abstract 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.
openaire +1 more source
Existence and Uniqueness Results
2014This 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 ...
openaire +1 more source
Existence and Uniqueness Theorems
1986In 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.
openaire +1 more source