Showing papers in "Journal of Mathematical Analysis and Applications in 1995"

TL;DR: In this paper, the authors consider the class of the invex functions introduced by Hanson and show that under certain conditions, a function defined on a set of non-invex sets A is pre-quasi-inverse on A.

TL;DR: In this article, the existence of nontrivial critical points of functionals with a local Linking at 0 was proved for both elliptic boundary value problems and Hamiltonian systems.

TL;DR: In this article, the Legendre connection between generalized dimensions and the multifractal spectrum is established using large deviations and rigorous proofs are provided for the implicit formula giving the generalized dimensions of selfsimilar measures, which was until now known only for positive q.

TL;DR: In this article, the authors provided an alternative and somewhat more straightforward proof for the theorem of Mizoguchi and Takahashi and studied the problems associated with fixed points of weakly contractive multi-valued mappings.

TL;DR: The structure of convenient pseudo-arithmetical operations leading to a Choquet-like integral is studied and pseudo-multiplication with properties similar to those of the Choquet and the Sugeno integral is introduced.

TL;DR: Non-stationary uniform subdivision schemes are presented, including some important examples, as the up-function and exponential splines of multivariate analysis of subdivision schemes.

TL;DR: In this paper, Hanke et al. showed that weak convergence of Landweber iteration can be proven by application of general results for fixed point iterations, based on quasi-contractive type conditions.

TL;DR: In this article, for an impulsive delay differential equation with bounded delay and bounded coefficients, the following result is established: if each solution is bounded on [0, ∞], together with its derivative for each bounded right-hand side, then the equation is exponentially stable.

TL;DR: In this article, the authors established new integral inequalities related to a certain inequality arising in the theory of differential equations, and the analysis used in the proofs is elementary and the results established here provide new estimates for these types of inequalities.

TL;DR: In this paper, it was shown that generic dynamical systems have a weak shadowing property, namely that given ϵ > 0, there exists a δ > 0 such that δ-trajectories are ϵ-close to real trajectories.

TL;DR: In this paper, the lower semicontinuous functions on Banach spaces whose subdifferentials are not disassociated from the same subdifferential have been studied and several conditions are given to ensure that two lower SFCs with the same Subdifferential are equal up to an additive constant.

TL;DR: In this article, the authors show how to make frame-like decompositions with respect to some sequences which do not satisfy the upper frame condition using the pseudo-inverse of an unbounded operator.

TL;DR: In this article, conditions for the existence of a solution for the m-point boundary value problem are given using the Leray-Schauder continuation theorem, and the problem of finding a solution is solved.

TL;DR: In this paper, a method based on sequences is applied to derive inequalities between the arithmetic-geometric mean of Gauss, the logarithmic mean, and certain other means.

TL;DR: In this paper, the authors derived Lyapunov-type inequalities for certain higher order differential equations which relate the points at which the solutions and their certain derivatives have zeros. And they used these inequalities to study the qualitative behavior of solutions of the corresponding differential equations.

TL;DR: The existence of periodic solutions to non-autonomous second order systems with γ-quasisubadditive potential is proved with classical theorems of variational calculus in this paper.

TL;DR: In this article, a generalized Riccati transformation was used to improve the oscillation criteria of Wintner, Hartman, Kamenev, Yan, and Philos. But the results were restricted to the second order linear differential equation.

TL;DR: In this article, the initial boundary value problems for a nonlinear differential system of two equations are considered, and it is proved that the system possesses a weak solution, and uniqueness is also established for the semiclassical solution of the system.

TL;DR: In this paper, the authors investigated the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions, and showed that the parabolic equation may possess multiple solutions even if the reaction function is smooth including linear functions.

TL;DR: In this article, it was shown that the Mann and Ishikawa iteration converges strongly to a solution of the equation Tx = ǫ in a strongly accretive Banach space.

TL;DR: In this paper, a generalized Morse theory for continuous functionals having isolated critical points is presented. But the main tools are deformation properties generalizing classical ones for smooth functionals and refining those of J.-N. Corvellec, M. Degiovanni, and M. Marzocchi.

TL;DR: In this article, the Fourier expansions were used to generalize Hale's alternative results for the existence of periodic solutions of linear retarded functional differential equations to neutral equations, and the results also generalize the works of Hatvani and Krisztin on retarded equations.

TL;DR: In this article, a class of positive definite kernels defined on a closed, compact, Riemannian manifold is introduced, which provides a grid-free method for solving uniquely a generalized version of the Hermite interpolation problem, in which one fits a smooth surface to multi-dimensional scattered data-including data generated by derivatives, fluxes, or any other quantity one can obtain by integrating a function against a compactly supported distribution.

TL;DR: In this article, the authors considered a semilinear heat equation with partially known initial and boundary conditions and showed that the insensitivity conditions are equivalent to a particular nonlinear exact controllability problem for parabolic equations.