Showing papers in "Journal of Mathematical Analysis and Applications in 1998"

TL;DR: In this article, the existence of mild solutions for a partial neutral functional integrodifferential equation with unbounded delay using the Leray-Schauder alternative was proved using the Langevin method.

TL;DR: In this article, the Hyers-Ulam stability of the quadratic functional equation (1) on a restricted domain was investigated, and the result was applied to the study of an asymptotic behavior of that equation.

TL;DR: In this article, the convergence problem of Ishikawa and Mann iterative sequences for strongly pseudo-contractive mappings without the Lipschitz condition has been studied and the results presented in this paper improve and extend the corresponding results in [ 4, 5, 7, 10, 12, 15, 16 ] in the more general setting.

TL;DR: In this paper, a symmetry group of scaling transformations is determined for a partial differential equation of fractional order α, containing among particular cases the diffusion equation, the wave equation, and the fractional diffusion-wave equation.

TL;DR: In this paper, the authors give sufficient coefficient conditions for normalized harmonic functions to map onto either starlike or convex regions, and these conditions are also necessary when the coefficients are negative.

TL;DR: Two common fixed point theorems have been proved by using minimal type commutativity and contractive conditions as mentioned in this paper, and the last theorem extends known results on compatible maps to a wider class of mappings.

TL;DR: In this paper, the authors studied the oscillatory behavior, boundedness of the solutions, and the global asymptotic stability of the positive equilibrium of the system of two nonlinear difference equations.

TL;DR: In this article, the authors prove uniqueness theorems for functions of finite order that share one finite value with one or two of their derivatives, i.e., functions of the form

TL;DR: In this paper, the authors consider the long-time behavior of solutions of the initial value problem for semilinear wave equations of the form [formula] and show that it is possible to solve the problem in polynomial time.

TL;DR: In this paper, the authors generalize Hilbert's integral inequality and its equivalent form by introducing three parameters, i.e., π is the best value and π 2 is also the best values.

TL;DR: In this article, the authors established a result of existence of periodic solutions for the class of quasi-linear partial neutral functional differential equations with unbounded delay, which can be described as the abstract functional differential equation ( d / dt )( x ( t )+ F ( t, x t )).

TL;DR: In this paper, it was shown that the oscillation and the stability of a linear impulsive delay differential equation are equivalent to the oscillations and stability of the corresponding linear delay differential equations without impulses.

TL;DR: In this paper, the equivalence between the generalized set-valued variational inclusions, the resolvent equations, and the fixed-point problem was established using the resolver operator technique.

TL;DR: The fuzzy theory is established using AFS algebras and AFS structure published by the author and the concept of fuzzy variable and a simple controlling model based on AFS theory are proposed.

TL;DR: The class of quadratic integral equations considered below contains as a special case numerous integral equations encountered in the theories of radiative transfer and neutron transport, and in the kinetic theory of gases.

TL;DR: In this paper, the authors prove new convergence theorems of the Ishikawa and Mann iteration sequences for strongly accretive and strongly pseudo-contractive mappings by using the new inequality and the new approximation methods.

TL;DR: In this article, the authors established new inequalities similar to Hilbert's inequality involving series of nonnegative terms, and the integral analogues of the main results are also given, where the integral analogue is the Hilbert inequality.

TL;DR: In this article, the validity of both maximum and weak comparison principles for the operator L pu = Δpu+a(x)|u|p ǫ−2u, under Dirichlet conditions, are given.

TL;DR: In this paper, the authors extend Himmelberg's fixed-point theorem, replacing the usual convexity in topological vector spaces with an abstract topological notion of convexness, and prove the existence of a fixed point for a compact approachable map under weak hypotheses.

TL;DR: In this paper, a necessary and sufficient condition for the stability of n × n matrices with real entries is proved and applications to asymptotic stability of equilibria for vector fields are considered.

TL;DR: In this paper, it was shown that the minimal harmonic map exists, and it proves to be Teichmuller's harmonic map, which is the same as the one presented in this paper.

TL;DR: The generalized set-valued mixed variational inequality as discussed by the authors is a new class of variational inequalities, which is called the generalized setvalued mixed VAE (GSVAE) and is used to solve fixed point problems.

TL;DR: A random fixed point theorem for random dynamical systems where a contraction condition is formulated as an expectation of a particular expression is formulated and a random graph transformation is formulated which defines a random dynamicals system.

TL;DR: In this article, an optimal harvesting problem for a nonlinear age-dependent population dynamics is investigated, and the existence and uniqueness of a positive solution for the model are demonstrated and the structure of the solution is also investigated.

TL;DR: In this paper, a non-commutative Nudel aman type interpolation theorem in several variables and a commutative analogue for H ∞(B n), the Hardy space of bounded analytic functions in the open ball of C n were obtained.

TL;DR: An improved version of the front-tracking algorithm for systems of conservation laws is presented, somewhat simpler than in previous algorithms, which leads to a more efficient numerical scheme.

TL;DR: In this paper, the authors derived the linear fractional transformation relating the operator-valued Weyl-Titchmarsh M-functions corresponding to A1and A2.

TL;DR: This new type of convergence is useful in dealing with the ∗ -product of Darsow, Nguyen, and Olsen for copulas and is provided for constructing strong approximations of copulas by using partitions of unity.