Showing papers in "Journal of Mathematical Analysis and Applications in 1994"

TL;DR: In this paper, a generalization of the stability of additive mappings has been proposed in the spirit of Hyers, Ulam, and Rassias, and the stability has been shown to be robust.

TL;DR: In this article, a criterion for a class of Hopf bifurcations using the properties of coefficients of characteristic equations instead of those of eigenvalues is presented. But it is not related to the Routh-Hurwitz criterion.

TL;DR: In this paper, the existence and uniqueness of pseudo almost periodic solutions of the linear and the quasi-linear non-autonomous equations was studied and some theorems about the existence of such solutions were established.

TL;DR: In this article, the existence of multiple positive solutions of the equations − u "′=ƒ( t, u ), subject to linear boundary conditions, was studied and it was shown that there are at least two positive solutions if ǫ( t, u ) is superlinear at one end point (zero or infinity) and sublinear at the other.

TL;DR: In this paper, a rich calculus for the coderivative and related subdifferential constructions using an extremal (variational) approach is developed, which has many useful applications to optimization and control problems, to sensitivity analysis for generalized equations and variational inequalities.

TL;DR: A perturbed method for solving a new class of variational inclusions, and a convergence result which includes, as a special case, some known results in this field, is given in this paper.

TL;DR: In this paper, the authors developed the monotone method in the presence of lower and upper solutions for the problem u (n) (t)=ƒ(t, u(t));u (i) (a)−u(i)(b)=λ i ∈ R ; i=0,..., n−1.

TL;DR: In this article, the convergence of the Mann iterates of a completely continuous asymptotically nonexpansive mapping on a Hilbert space has been studied on uniformly convex spaces.

TL;DR: In this article, necessary and sufficient conditions for the asymptotic stability of the difference equation xn+1 − axn + bxn−k = 0, n= 0, 1, 2,..., where the coefficients a and b are real numbers and the delay k is a nonnegative integer.

TL;DR: In this article, a monotone form of L′Hospital′s rule is obtained and applied to derive inequalities between the arithmetic-geometric mean of Gauss, the logarithmic mean, and Stolarsky's identric mean.

TL;DR: In this article, the authors give sufficient conditions for a system of Volterra difference equations to have a unique periodic solution, and a criterion for uniform asymptotic stability is established.

TL;DR: In this article, the authors obtained asymptotic formulas for eigenvalues, eigenfunctions, and the reciprocals of the eigenfunction norms for Eigenvalue problems associated with the general Sturm-Liouville equation having regular endpoints.

TL;DR: In this paper, exact solutions for the heat and mass transfer in a hydromagnetic flow of the visco-elastic fluid over a stretching surface were obtained for different parameters, such as the modified Prandtl number P*r, the magnetic parameter M, the surface temperature index S, and the modified Schmidt number S*c.

TL;DR: In this article, the Dirichlet boundary value problem of singular sublinear Emden-Fowler equations has been studied and a necessary and sufficient condition for the existence of positive solutions to this problem has been obtained by using the method of lower and upper solutions.

TL;DR: In this article, a general random fixed-point theorem was proved, which is a generalization of the random fixed point theorem of Itoh and Li [19]. But it is difficult to prove it in practice and the results of Lin [1988], Li and Xu [Proc. Amer. Math. Anal. Soc.

TL;DR: In this article, the convergence of Galerkin approximations for a second-order quasilinear elliptic problem with nonlinear mixed boundary conditions is proved and the existence and uniqueness of a weak and approximate solution is studied.

TL;DR: In this article, the Cauchy problem of the Davey-Stewartson II equations is solved by the method of an inverse scattering transform, and results of existence and uniqueness of global solutions, regularity, spatial, and long time decay are obtained.

TL;DR: In this article, the Pontryagin maximum principle is applied to optimal control problems involving a unilateral state constraint and the need arises to solve problems of this nature when the left endpoint is fixed and when the initial state lies in the boundary of the state constraint set region.

TL;DR: Beckenbach et al. as mentioned in this paper considered alternative proofs of simple matrix trace inequalities of Bellman and further properties of products of Hermitian and positive (semi)definite matrices.

TL;DR: In this article, the effects of free convection and suction or injection on the how and heat transfer characteristics of a viscous fluid near an infinite, porous, vertical stretching surface are considered.

TL;DR: In this paper, the spectral condition number for scattered-data interpolation matrices associated with a certain class of conditionally positive definite radial functions of order 0, including the Gaussians, is provided.

TL;DR: In this article, the authors considered the problem of finding the Geoffrion efficient solution of a set-valued function with respect to the Mond-Weir type and the Wolfe type vector duality.