Showing papers in "Applied Mathematics Letters in 1997"

TL;DR: In this paper, the authors describe the properties of the general solution to the third-order ODE y = y −2 for thin viscous films with surface tension and use it to solve exactly a problem relevant to Tanner's Law for the speed of a moving three-phase contact line.

TL;DR: Two existence results for second-order discrete boundary value problems are presented in this paper, one based on the notion of upper and lower solutions and the other based on discrete Gelfand problem.

TL;DR: The Jensen Inequality is extended and applied to derive some useful lower bounds for various entropy measures of discrete random variables.

TL;DR: In this paper, the necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations are obtained, by virtue of the proposed procedure, which allows us, in some sense, to formalize the procedure of the corresponding Lyapunov functionals construction.

TL;DR: A property of linear differential equations where the initial state is described by a vector of fuzzy numbers is investigated, related directly to the matrix defining the original nonfuzzy system by passing to a complex number representation of the α-level sets of the fuzzy system.

TL;DR: In this paper, the Boltzmann-Poisson system for electrons in a semiconductor in the case of high fields and small devices is considered and closed moment equations and boundary conditions for both the distribution function and the moments are discussed.

TL;DR: In this paper, the oscillatory behavior of solutions of m th-order nonlinear neutral difference equations is investigated, and some examples which dwell upon the importance of their results are also included.

TL;DR: The key to the generalization is the substitution of a family of gamma distributions for the negative exponential family used for intercrossing distances on fibres, which allows closed expressions to be obtained for the variance and mean of the equivalent pore size distributions in a planar array of line elements representing fibres.

TL;DR: In this article, the authors studied the asymptotic behavior of the solutions of the Benjamin-Bona-Mahony equation and showed that the global weak attractor is actually the global strong attractor in H per 2.

TL;DR: In this paper, a boundary value problem for the one-dimensional heat equation is considered under the constraint of a nonlocal initial condition, and the problem is investigated by conversion to a Fredholm integral equation.

TL;DR: In this article, a necessary and sufficient condition is given for determining if a uniform Timoshenko beam with free ends has an eigenvalue for which there exist two linearly independent eigenfunctions.

TL;DR: In this article, the solvability of a class of nonlinear variational inequality problems involving p -monotone and p -Lipschitz types of operators is investigated.

TL;DR: In this article, second-order symmetric and self-dual programs in multiobjective nonlinear programming were proposed and proved weak, strong, and converse duality theorems under convexity and concavity conditions.

TL;DR: A new iterative algorithm of solution for a new class of nonlinear variational inequalities with fuzzy mappings is constructed and some convergence analysis of iterative sequences generated by algorithm is given.

TL;DR: The general solution of the discrete Pinney equation is given in terms of two linearly independent solutions of a discrete Schrodinger equation.

TL;DR: In this article, conditions on the function ǫ(i,u 1,u 2,…,u n−1 ) were provided so that the boundary value problem has at least one positive solution.

TL;DR: The divide-and-conquer technique is generalized, and new ideas on how to use efficient search strategies for saving computer memory and accelerating the procedure for three or more sequences are presented.

TL;DR: For the difference equation, the existence of solutions in the classes M+, M−, and WOS is established in this article, where the class M+M−M−WOS is considered.

TL;DR: In this article, it was shown that under certain conditions, some classical iterative methods converge for the linear system resulting from a fourth-order compact discretization of the convection-diffusion equation.

TL;DR: In this article, the authors established partial results concerning the convergence of the solutions of the Navier-Stokes equations to that of the Euler equations under a physically reasonable assumption, namely that the gradient of the pressure remains bounded at the boundary as the Reynolds number converges to infinity.

TL;DR: In this paper, a bilateral elasticity is introduced which holds other inputs constant and performs better than Morishima and McFadden elasticities, but it does not have the local convexity of isoquants.

TL;DR: In this article, two-stage iterative methods for the solution of linear systems are studied and convergence of both stationary and nonstationary cases is analyzed when the coefficient matrix is Hermitian positive definite.

TL;DR: In this article, the authors established theorems of existence, uniqueness, and asymptotic stability in the theory of heat conduction for rigid bodies with dissipative boundary conditions.

TL;DR: In this paper, a reaction-diffusion system with Dirichlet boundary conditions is analyzed and complex spatial patterns can be generated by imposing boundary conditions on one or more of the reactant concentrations.

TL;DR: In this article, the authors set up the monotone convergence theory for the two-stage iterative method proposed by Frommer and Szyld in [1] and investigated the influence of splitting matrices and the inner iteration number sequence on the convergence rate of this method.

TL;DR: This result essentially improves, from both complexity and approximation quality points of view, the best-known approximation ratio for maximum independent set.

TL;DR: In this article, sufficient conditions for null controllability of semilinear integrodifferential systems with unbounded linear operators in Banach space are established using semigroup of linear operators, fractional powers of operators, and the Schauder fixed point theorem.

TL;DR: In this article, a new coincidence theorem for two set-valued mappings both without convex values and the property of open inverse values is proved in contractible spaces, where the set-value mappings can be expressed in contractable spaces.

TL;DR: In this paper, the authors propose structures for clusters of 69, 78, 88, 98, 107, 113, and 115 atoms that, although icosahedral in character, do not follow the so-called magic numbers sequence.

TL;DR: In this paper, a linear unbiased full-order state estimation problem for discrete-time models with stochastic parameters and additive finite energy type disturbance signals is reformulated in terms of linear matrix inequalities.