Showing papers in "Journal of Mathematical Analysis and Applications in 1981"

TL;DR: In this paper, it was shown that there are other wide classes of functions for which the pseudo-convexity of&(x) and quasiconvexeness off(x)-conditions are sufficient for optimality.

TL;DR: Chang et al. as discussed by the authors extended the theory of nonlinear partial differential equations (PDE) to PDE with discontinuous nonlinearities (DNDE) and showed that the original PDE can be put into a large category, for instance, DNDE.

TL;DR: This paper proves that the notions which are introduced are good extensions and it is proved that the category of uniform spaces is nicely injected in the categories of fuzzy uniform spaces.

TL;DR: An algorithm is presented that finds both S f and D g = ( S f) and in the faithfully convex case these cones can be used to regularize (P), i.e., transform (P) into an equivalent program (P r ) for which Slater's condition holds.

TL;DR: In this article, the authors considered lattices in which the area of the elementary cells of the lattice equals 1, and showed the existence of Gabor representation for tempered distribution in general.

TL;DR: In this article, an iterative algorithm to extrapolate band-limited functions using the operators of Fourier transform and projection on convex subsets was derived, which allows the use of a priori knowledge in the extrapolation procedure.

TL;DR: In this paper, it was shown that the behavior of a nonlinear contraction semigroup resembles that of the resolvent of its generator both at infinity and at the origin of the generator.

TL;DR: In this paper, an algebraic integer ϱ in a quadratic number field whose minimum polynomial is x 2 + p 1 + p 0 + φ + p 2 + π + p 3 + p 4 + ρ + p p 0 -p p 0 if and only if p 0 ⊾ 2 and −1 ⊽ p 1 ⩽ p 0 −p 1 ⌽p 0.

TL;DR: In this article, the authors generalize local and global inverse function theorems to continuous transformations in R n, replacing nonexistent derivatives by set-valued derivate containers, including extensions of generalized Jacobians.

TL;DR: The main result of this paper is the determination of the greatest eigen fuzzy set associated with a given fuzzy relation and three methods are given to obtain all fuzzy relations keeping invariant agiven fuzzy set.

TL;DR: In this paper, Davie and Kaijser generalized Littlewood and Hardy's results to multilinear bilinear forms on lp spaces and proved that these results can be generalized to multilevel forms.

TL;DR: A new more natural definition of proper compactness is given and a few properties resulting from this are established.

TL;DR: In this article, the coexistence and stability of the population densities of two competing species in a bounded habitat are investigated, where the effect of dispersion (transportation) is taken into consideration.

TL;DR: A theory of optimal control is developed for stochastic systems whose performance is measured by the exponential of an integral form and such a formulation of the cost function is shown to be not only general and useful but also analytically tractable.

TL;DR: In this paper, the notion of fuzzy Hausdorff topological spaces is introduced and a few observations are made to establish the appropriateness of this notion and its applicability.

TL;DR: In this article, the ergodic and KMS channels are studied by operator algebraic methods and the dynamical properties of these channels are discussed. But the quantum ergodics are not considered.

TL;DR: In this paper, the Riccati transformation is used for oscillation and comparison theorems for a linear homogeneous second-order difference equation for a non-linear second order difference equation.

TL;DR: In this article, a duality theory is developed using the concept of saddlepoints for a problem in which the maximization of a function into possibly infinite dimensions is defined in terms of a cone.

TL;DR: In this article, the authors describe chaotic behavior in a single-loop feedback system of low order, where the system is particularly simple, and because it is piecewise linear, and hence can be undersdtood globally, a description of the flow much more complete than usual can be given.

TL;DR: In this paper, the effect of variable change on differential operators has been studied in the context of the Journal of D@‘erential Equations (JEE) and the work of Hinton and Lewis.

TL;DR: In this paper, two dual problems are proposed for the minimax problem: minimize maxy ϵ Y φ(x, y), subject to g(x) ⩽ 0.