Showing papers in "Journal of Mathematical Analysis and Applications in 1993"

TL;DR: In this article, necessary and sufficient conditions for mean square stability of Markovian jump linear systems are derived, including the case in which the system is driven by an independent wide-sense stationary random sequence.

TL;DR: In this article, the Hardy space H p of analytic functions and the class of functions whose derivative has a positive real part were investigated and inclusion theorems involving H p were proved.

TL;DR: In this paper, a generalized solution to the problem of finding a linear mapping near an approximately linear mapping is proposed. But the problem is not restricted to linear mappings, and the behavior of bounded approximately additive mappings is investigated.

TL;DR: In this article, nonlinear partial differential equations are systematically solved by the decomposition method of G. Adomian for general boundary conditions described by boundary operator equations, and linear or nonlinear ordinary differential equations become special cases all dealt with by a single procedure.

TL;DR: In this article, the S θ -analog of the Cauchy criterion for convergence was defined and shown to be equivalent to S ǫ -convergence.

TL;DR: In this article, additional methods for deriving integrable non-autonomous discrete equations have been derived based on the discrete AKNS approach, on the use of Backlund and Schlesinger transforms of the (continuous) Painleve equations, and on discrete analogues of Miura transformations.

TL;DR: In this paper, the dynamics of rational recursive sequences of the form======¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯\/\/\/\/\/\/£££€££ ££ £ £££/$££$££

TL;DR: In this paper, the authors consider energy dissipation in elastic systems, energy conserving in themselves, resulting from the coupling of such systems to associated dissipative systems, and indicate a general analytic and algebraic structure in which many such coupled systems may be incorporated and present sufficient conditions for the associated strongly continuous semigroups to be holomorphic.

TL;DR: In this paper, a mathematical model for the description of heat conduction in a conductor in the presence of Joule heating is considered, and the existence of a weak solution is proved using Schauder's fixed point theorem together with elliptic estimates.

TL;DR: In this paper, toeplitz conditions are derived for matrices to map a Maddox sequence space into another such space, which generalizes the classical sequence spaces l 1, c 0, c, and l ∞.

TL;DR: In this paper, conditions on a, b, c to guarantee that zF (a, b ; c ; z ) will be in various subclasses of starlike and convex functions are given, leading to coefficient characterizations of the families.

TL;DR: In this paper, a solvability theorem is proved for a class of quasiconvex mappings, which is applied to characterize the local and global solutions of optimization problems where mappings satisfy certain quasicovexity conditions or their suitable approximatIons satisfy such conditions.

TL;DR: Some basic properties of the considered entropy are reviewed, using an additive fuzzy measure, of the entropy of a finite fuzzy partition.

TL;DR: In this article, the authors combine the monotone iterative technique with fixed point theory to investigate the extremal solutions of nonlinear impulsive integrodifferential equations in Banach spaces.

TL;DR: The Banach contraction mapping theorem and the theory of analytic semigroups are used to prove the existence and uniqueness of solutions to nonlocal semilinear parabolic partial differential equations as mentioned in this paper.

TL;DR: In this paper, the existence of maximal elements for LC-majorized correspondences defined on a non-compact set is shown to be a fixed point theorem from which a generalization of the equilibrium theorem is obtained.

TL;DR: In this paper, the singularities which generically occur in one-parameter families of sliding vector fields are classified and the main aim of this paper is to classify these singularities.

TL;DR: In this article, the authors prove global existence and uniqueness in three dimensions for the initial-boundary value problem with a third boundary condition, where the second law of thermodynamics postulates that the entropy functional cannot decrease along solution paths.

TL;DR: In this paper, a singularly perturbed nonlinear problem ϵy″ − ƒ(x, y, y′) = 0, 0 y(0) = A, y(1) = B, where y, ǫ, A, and B are n-dimensional vector is considered.

TL;DR: In this paper, some verification theorems are presented within the framework of viscosity solutions under mild assumptions, which have wider applicability than the classical verification theorem for optimal control.

TL;DR: In this article, it was shown that if the initial data have convex (or starshaped) level sets, then the solution u(t,⋅) has the same property for any positive t. Similar results are shown for the corresponding stationary problems.