Showing papers in "Journal of Mathematical Analysis and Applications in 1989"

TL;DR: In this article, a multivaluee version of theoreme de point fixe de Caristi is presented, which is equivalent to a version of e-variationnel theorem du a Ekeland.

TL;DR: In this paper, sufficient conditions are obtained respectively for the asymptotic stability of the trivial solution of x(t) + ax(t − τ) = ∑j = 1∞ bjx(tj − )δ (t − tj), t ≠ tj and for all solutions to be oscillatory.

TL;DR: Soit u∈W loc 1,p (Ω; R N ) un minimiseur local de ∫f(x,v,x,Dv,dx)dx avec f satisfaisant certaines hypotheses.

TL;DR: On considere des systemes lineaires a retard du type: x˙(t)=L(x t )=∫ −r 0 dη(θ)x t (θ), ou L est un operateur lineaire sur l'espace des fonctions as discussed by the authors.

TL;DR: In this paper, a model reference adaptive control with command generator tracker concepts is proposed, where the error signal is driven to a residue set asymptotically, the size of which depends on how close the nominal closed-loop plant is to positive realness.

TL;DR: In this paper, the authors et al. etudie des problemes aux valeurs limites elliptiques du type: −Δu=f(u)+p(x), x∈Ω,u=0, x ∈∂ Ω, ou Ω⊂R n est un domaine borne and f peut avoir des discontinuites.

TL;DR: In this article, the authors characterized Hellinger coefficient, Jeffreys distance, Chernoff coefficient, directed divergence, and its symmetrization J -divergence through a composition law and the sum form they possess.

TL;DR: The study of regularity properties for minimizers of problems of the form min, u, u (dt) dt: u E IV'-''(Q; R''), u(a) = a, u(b) = B (11) has been undertaken for a long time in Calculus of Variations, and a number of results are by now available on this subject as discussed by the authors.

TL;DR: In this article, the comportement des solutions du problems aux valeurs initiales is studied: u t +u x +u p u x −u xxt = 0 (x∈R,t>o),u(x,0)=φ(x)(x ∈R) p>0 entier.

TL;DR: On etudie les solutions entieres positives de l'equation elliptique singuliere −Δu=f(x)u − λ, λ>0, ou f∈C loc α(R n ), 0 0 pour |x|>0 as discussed by the authors.

TL;DR: In this paper, the concept of Pareto optimum was used to formulate duality for non-linear programs, including convex functions, pseudoconvex functions and weakly convex (or strongly convex) functions.

TL;DR: For any x ϵ (0, 1) √ n + O( 1 n ), the rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation has been shown to be asymptotically best at points where ǫ is continuous as discussed by the authors.

TL;DR: In this paper, the authors studied mixed boundary value problems with second order elliptic operators L and first order oblique operators M and proved a best possible estimate of the regularity of u under weak hypotheses on the coefficients of L and M.

TL;DR: In this paper, the Colombeau algebra Y(@) has been used to solve the problem of finding the distributional solutions in a system with continuous coeffkients.

TL;DR: In this paper, the relationship between locally Lipschitz continuous viscosity solutions and solutions in the sense of Clarke of the Hamilton-Jacobi equation arising in optimal control is studied.

TL;DR: In this paper, a generalized upper and lower solution method for the solvability of first-order ordinary differential equations was introduced to cover the case when the function satisfies Caratheodory conditions, and this method is then applied to get multiplicity results when the nonlinearity interacts with the real eigenvalue of the linearized problem.

TL;DR: In this paper, the authors discuss stabiliy theory of impulsive differential systems with fixed moments of impulse effects in terms of two measures, since such a theory enables us to unify a variety of stability results found in the literature.

TL;DR: The authors studied optimal birth control policies for an age-structured population of McKendrick type which is a distributed parameter system involving 1st order partial differential equations with nonlocal bilinear boundary control.

TL;DR: In this paper, a linear system of differential equations with the argument [ t + 1 2 ] is studied, where [·] denotes the greatest-integer function, and the oscillatory and periodic properties of the solutions depend on the eigenvalues of a certain matrix associated with the system.

TL;DR: In this article, oscillation and nonoscillation criteria are obtained for the second-order difference equation Δ ( r n Δx n ) + p n x n + 1 = 0, where x n is the forward difference operator and r n, p n are sequences of real numbers.

TL;DR: In this article, the authors present general and precise results on existence and number of solutions to implicitly defined ODEs in the vicinity of a singular point, where the equation is not equivalent to an explicit one.

TL;DR: A modification to the Wilson-Han-Powell sequential quadratic programming technique that is applicable to potentially infeasible nonlinear programs and shown to possess substantially enhanced stability properties is described.

TL;DR: In this paper, generalizations of Ky Fan's matching theorems for open [or closed] coverings and their applications are obtained. And the Fan-Browder fixed point theorem, the Schauder fixed-point theorem, and other new results are given.

TL;DR: In this paper, the existence of global solutions of the Cauchy problem for a system of two equations is proved by a compactness argument from a convergent numerical scheme, in which the generalized solutions are bounded variation functions.

TL;DR: In this paper, the notion de persistance uniforme dans le cadre de la theorie de Conley des ensembles invariants is reconsidere, and the notion of persistance invariance uniforme is reconsidered.

TL;DR: In this article, the authors studied boundedness and monotonicity properties of a homogeneous second-order linear difference equation and showed that every solution must eventually be monotonic under certain conditions.

TL;DR: In this article, the boundary condition of the Neumann problem associated to a quasilinear elliptic operator in divergence form is defined and a Green's formula that justifies the variational formulation of the problem is given.

TL;DR: In this article, the Lyapunov direct method was used to study the nonlinear conditional stability of the Benard problem with rotation and showed the coincidence between the linear and nonlinear critical stability parameters.

TL;DR: On considere la description de l'ensemble L(X) de tous les relevements de Nagy-Foias de X en combinant la methode des noyaux de Toeplitz generalises avec certaines idees de Arov et Grossman sur les fonctions analytiques contractibles as discussed by the authors,