Showing papers in "Journal of Mathematical Analysis and Applications in 1976"

TL;DR: It will be shown in a following publication that contrary to the results obtained up to now, the Tychonoff-product theorem is safeguarded with fuzzy compactness.

TL;DR: In this paper, the inverse scattering problem for a third-order eigenvalue problem was used to find the closure of the squared eigenfunctions of the Zakharov-Shabat equations.

TL;DR: In this paper, it was shown that a shock satisfies condition (E) if and only if the shock is admissible, that is, it is the limit of progressive wave solutions of the associated viscosity equations.

TL;DR: In this article, the authors considered a family of solutions with a limit in some sense as l + 0, where l is the number of vertices in the solution and E is the length of the transition from the limit to the boundary.

TL;DR: In this article, the k-plane integral transformations on the spaces L/sup 1/(R/sup n/) and l/sup 2/(R /sup n) were studied.

TL;DR: In this paper, the authors studied similarity solutions of (1) in S, of the following three types: weak Cauchy-Dirichlet problem, weak Dirichlet-Cauchy problem, and weak version.

TL;DR: In this article, it was shown that the gradient maps of convex functionals with uniformly bounded continuous second Frechet derivatives satisfy monotonicity conditions that insure that some convex combination of the identity, I, and I − ▽f is either strictly contractive or at worst nonexpansive.

TL;DR: In this article, necessary and sufficient conditions for transforming into the Wiener process, a one-dimensional diffusion process descibed by a Kolmogorov or by a Langevin equation, are provided, and the transformation is determined.

TL;DR: In this article, some classes of partial differential equations with deviating arguments in the time variable are investigated, where the equations are written as abstract ordinary functional differential equations of the form d dt u(t) = −Au (t) + F(u t ), u 0 = φ, where −A is the infinitesimal generator of a linear semigroup and F is not necessarily continuous.

TL;DR: In this article, the problem of finding a minimal triangulation of an undirected graph G = (V, E) is considered, and an algorithm for finding an optimal ordering α which produces a minimal set of "fill-in" is presented.

TL;DR: In this article, asymptotic solutions of the two-point problem ϵ 2 x + f(x) = 0, 0 ⩽ t t ⩾ 1, x(0), x(1) are presented.

TL;DR: In this paper, sufficient conditions for controllability of the perturbed quasi-linear system x = A(t, x, u)x + B(t and u)u + f(t. and u).

TL;DR: In this article, the asymptotic distribution of the eigenvalues of a Sturm-Liouville system has been analyzed in the form of a function of the coefficients, where the coefficients are continuously differentiable.

TL;DR: In this paper, the authors carried out the first case of a general program which may be described as the final and effective version of a theory of canonical forms for meromorphic linear differential equations initiated by Birkhoff.

TL;DR: In this paper, conditions on the equations and data are derived which are sufficient to guarantee the nonexistence of global weak solutions of Cauchy problems for classes of nonlinear partial differential equations.

TL;DR: In this paper, the scalar scalar equation is considered and the existence and uniqueness theory for scalar equations is presented, which is the first author to present an existence-and-uniqueness theory for such equations.

TL;DR: In this paper, a simple commutativity result between the operations of moment-discretization and least-squares solutions of linear integral equations of the first kind is established.

TL;DR: In this article, it was shown that the Cauchy problem has a unique solution for C ∞ data with compact support under the assumption of a vanishing magnetic field (curl A = 0), which uncouples the Maxwell-Dirac equations.

TL;DR: In this article, the authors give some characterizations of parallel addition and shorted operation among operations on the class of all positive operators on a Hilbert space and show that the series-parallel inequality and the transformer inequality are, in some sense, characteristic for parallel addition.

TL;DR: In this paper, the authors studied the singularities in the solution of a Hilbert-Schmidt type of integral transformation with unbounded displacement kernels and developed a systematic way of characterizing these singularities.

TL;DR: In this paper, the concepts of weakly Ω-invariant sets and strictly weakly invariant sets in control systems with bounded controls are defined and analyzed. And the question of existence of rest points and stationary points in weakly ≥ 0.

TL;DR: A new search method for unconstrained optimization requires the evaluation of first and second derivatives and defines a curve along which a undimensional step takes place and performs as Newton's method for large step-size.

TL;DR: In this article, the second order nonlinear ordinary differential equations developed by FitzHugh to simplify the fourth order current clamped Hodgkin-Huxley nerve conduction equations are considered.