Showing papers in "Journal of Mathematical Analysis and Applications in 1966"

TL;DR: In this paper, a modified form of Bellman's iteration scheme for finding the shortest route between any two vertices in a network is developed for application to our generalized case, where internodal time requirements are time-variable and the main points of this treatment has been to arrange the work so that when computing a new iterate one does not have to recompute previous iterates at more advanced time points.

TL;DR: In this article, a general framework for the treatment of pattern recognition problems is discussed, in which the notion of a "fuzzy" set is introduced and used to determine whether a symbol is a member of a particular set or not.

TL;DR: In this paper, the Galerkin's procedure can be used to obtain an isolated periodic solution lying inside the region of definition of X(x,t) and its derivative with respect to x and t. In the present paper, the practical numerical method is described and some numerical examples are presented.

TL;DR: In this article, the authors used the Wielandt approach to prove Sinkhorn's theorem for the case when A is an irreducible matrix with a positive main diagonal.

TL;DR: In this article, a modified dynamic programming method for the problem of choosing the action at the beginning of each period which will maximize future total discounted income is described, and the convergence appears to be quite rapid.

TL;DR: In this article, a self-adjoint operator A in Hilbert space is defined to be in the essential spectrum if it is not an isolated eigenvalue of finite multiplicity.

TL;DR: In this paper, a matrix with k rows and n columns having elements is defined, and a matrix matrix is defined such that the elements of the matrix are such that ==================¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

TL;DR: In this paper, an iteration method for the actual construction of fixed points of S under the additional assumption that S is demicompact was discussed, and certain properties of monotone operators were derived at the same time.

TL;DR: Several perturbation theorems are proved for nonlinear ordinary differential systems x′ = f(t, x) for which the zero solution is uniformly stable in variation in this paper.

TL;DR: In this article, the problem of estimating the state of an arbitrary n-dimensional nonlinear system, subjected to stochastic disturbances, and having as observable outputs only m < n nonlinear functions of the n state variables, whose measurement is also corrupted by noise, is called the optimal nonlinear filtering problem.

TL;DR: In this paper, nonlinear integral equations (from elasticity theory) viewed in a Banach space are solved by Newton's method for varying load parameter, a change of parameter permits continued application of the method near critical loads.

TL;DR: In this article, the analytic properties of the resolvent kernel and the scattering operator associated with the Schroedinger operator A = - d + M(p) are studied. But the analysis is restricted to the case where d denotes the Laplacian in 3-dimensional Euclidean space, while M(q) denotes the operation of multiplication by the real-valued potential function p(x), i.e. Mmf(x) = Wf( xh XEE~.

TL;DR: In this paper, it was shown that the solution of the Cauchy problem for the equation of heat conduction is unique in the class of functions which grow no faster than exp{const. / x I}.

TL;DR: In this article, a combination of the ideas of the theory of singular surfaces and those of ray-theory was proposed to study completely anisotropic wave propagation into a uniform medium.