Showing papers in "Journal of Mathematical Analysis and Applications in 1986"

TL;DR: The new definition of expectation generalizes the integral of a set-valued function and derives the Lebesgue-dominated convergence type theorem by considering a suitable generalization of the Hausdorff metric.

TL;DR: In this article, a new method of interpolation was generated through an iterative scheme on dyadic rationals, which is linear, local and produces almost twice differentiable functions. Error formulas are derived.

TL;DR: In this article, the authors considered a more general problem, namely, y(4) = f ( x, y, y\") (1.1) whe re fe C[ [-0, 1 ] x R x R, R], under the following types of boundary conditions.

TL;DR: Etude analytique du problems de valeur aux limites for un systeme d'equations aux derivees partielles decrivant le transport des porteurs de charge dans un semiconducteur.

TL;DR: In this article, the Schrodinger operator H = (Δ/2) + q in a bounded C1,1 domain D with q ∈ Klocd (D, q) satisfies the condition: sup[spec((Δ 2 + q)|D] V ( x, y ) G ( x, y ) = E y x exp ⁡ ∫ 0 T q ( x t ) d t, x and y ∈ D, where (xt) is the conditioned Brownian motion starting at x and ending at y with the life

TL;DR: In this article, the authors consider les problemes aux valeurs limites mixtes suivants: Lu =f 1 dans Ω, Mu =f 2 sur Σ, u=f 3 sur ∂Ω/Σ avec L operateur elliptique and Pu=f 1dans ∂ Ω×(0,T), Mu=f 2sur Σ×( 0,T)

TL;DR: On demontre deux resultats de comparaison contenant des auto-applications croissantes d'un espace uniforme metrisable.

TL;DR: In this article, the existence, uniqueness, and continuous dependence upon the data are demonstrated for the solution u = u(x, t) of the diffusion equation, where ux(1, t, g) = g(t), 0 ∫ 0 b(0) ƒ(x) dx = m(0).

TL;DR: Several functions involving the gamma function and the q-gamma function were shown to be monotonic as mentioned in this paper, and these results were used to establish the infinite divisibility of a number of probability distributions defined via their moment generating functions.

TL;DR: A class of equilibria for differential games where memory strategies are allowed that permits the inclusion of a threat in a cooperative strategy as soon as one player is not controlling the system according to the agreed upon cooperative control is characterized.

TL;DR: For reaction-diffusion equations with Neumann boundary conditions, it was shown in this article that the solutions are asymptotic to the solutions of an ordinary differential equation if the diffusivity is large.

TL;DR: In this paper, Liapunov functions are used to obtain sufficient conditions for the Lipschitz stability of nonlinearly pertur-bed nonlinear systems, including integrodifferential and functional differential equations.

TL;DR: In this paper, the extension de la theorie des systemes de commande discontinue a structure variable a quelques cas non lineaires, which is the same variable used in this paper.

TL;DR: In this paper, a class of Hamiltonian systems with one degree of freedom containing the Lotka-Volterra system is considered and their period is represented as an integral appropriate for numerical evaluation as well as for theoretical investigations.

TL;DR: Adomian and Bellman as mentioned in this paper proposed a decomposition method for nonlinear stochastic operator equations to solve the heat equation, and applied it to the problem of heat equation decomposition.

TL;DR: In this paper, a piecewise continuous Ljapunov function is used for stability in systems of ordinary differential equations with impulse effect. But the approach presented is based on the specially introduced piecewise continuously LjAPunov functions.

TL;DR: In this paper, it was shown that knowledge of the admissible transformations does not always restrict the form of the scientific law as greatly as in the cases previously studied, and that the general form of a scientific law is not restricted by knowledge of these transformations.

TL;DR: In this paper, the duality property of Lagrange multipliers has been studied in the context of SGRA for optimal control problems, subject to differential constraints, nondifferential constraints, initial constraints, and final constraints.

TL;DR: In this paper, the relation between two types of filters, the Wiener filter (WF) and the projection filter (PF), for the restoration of the original image from the observation is discussed.

TL;DR: In this article, the Galerkin method is used to develop finite-dimensional controllers for linear distributed parameter systems (DPS) and conditions under which they produce equivalent controllers in the sense of closed-loop stability are presented.

TL;DR: In this paper, the neutral delay differential equation (∗) (d dt )[y(t) + py(t − τ)] + qy (t − σ) = 0, t ⩾ t 0, where τ, q, and σ are positive constants, while p ϵ (−∞, −1) ∪ (0, + ∞).

TL;DR: In this article, the authors considered a model of dispersing populations in the form of a system of nonlinear ordinary differential equations, where dispersal pressure is density dependent and a parameter measures the barrier strength.

TL;DR: In this article, the authors considered the time optimal control problem for linear retarded adjoint systems in Banach spaces and established the Bang-bang principle for the terminal value cost problem under some regularity condition of the adjoint system.