Random integral guiding functions with application to random differential complementarity systems
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2018, Vol 38, Issue 1
Abstract
By applying the random topological degree we develop the methods of random smooth and nonsmooth integral guiding functions and use them for the study of random differential inclusions in finite dimensional spaces. Some existence theorems of random periodic solutions are presented. It is shown how the abstract results can be applied to study the random differential complementarity systems arising, in particular, from random survival models.
Authors and Affiliations
Nguyen Van Loi, Tran Dinh Ke, Mai Quoc Vu, Valeri Obukhovskii
Effective energy integral functionals for thin films with three dimensional bending moment in the Orlicz-Sobolev space setting
In this paper we consider an elastic thin film ωϵR2 with the bending moment depending also on the third thickness variable. The effective energy functional defined on the Orlicz-Sobolev space over ω is described by Γ-con...
Averaging results for semilinear functional differential equations with infinite delay in a Banach space: a case of non uniqueness of solutions
We aim in this paper to establish averaging results in a case of non uniqueness of the mild solutions for semilinear functional differential equations in a Banach space with infinite delay on an abstract phase space and...
Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions
The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by app...
Exponential Stability of Nonlinear Non-autonomous Multivariable Systems
We consider nonlinear non-autonomous multivariable systems governed by differential equations with differentiable linear parts. Explicit conditions for the exponential stability are established. These conditions are form...
On the uniform convergence of sine, cosine and double sine-cosine series
In this paper we define new classes of sequences GM(β,r) and DGM(α,β,γ,r). Using these classes we generalize and extend the P.Kórus results concerning the uniform convergence of sine, cosine and double sine-cosine series...