Results 1 to 10 of about 12 (12)

Stepanov type µ-pseudo almost automorphic mild solutions of semilinear fractional integrodifferential equations

open access: yesNonautonomous Dynamical Systems, 2022
In this paper, using necessary and sufficient conditions, the new concept of Stepanov µ-pseudo almost automorphic functions and ergodicity results, we investigate the existence of mild bounded solutions for a class of fractional integro-differential ...
Sousa J. Vanterler da C.   +1 more
doaj   +1 more source

Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations

open access: yesNonautonomous Dynamical Systems, 2020
The aim of this work is to give sufficient conditions ensuring that the space PAP(𝕉, X, µ) of µ-pseudo almost periodic functions and the space PAA(𝕉, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ...
Béssémè Fritz Mbounja   +4 more
doaj   +1 more source

Existence and Multiplicity of Weak Solutions for a Neumann Elliptic Problem with -Laplacian

open access: yesNonautonomous Dynamical Systems, 2020
We are interested in the existence of multiple weak solutions for the Neumann elliptic problem involving the anisotropic -Laplacian operator, on a bounded domain with smooth boundary.
Bohner Martin   +3 more
doaj   +1 more source

Almost periodic solutions to systems of parabolic equations

open access: yesInternational Journal of Stochastic Analysis, Volume 7, Issue 4, Page 581-586, 1994., 1994
In this paper we show that the second‐order differential solution is 𝕃2‐almost periodic, provided it is 𝕃2‐bounded, and the growth of the components of a non‐linear function of a system of parabolic equation is bounded by any pair of con‐secutive eigenvalues of the associated Dirichlet boundary value problems.
Janpou Nee
wiley   +1 more source

Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings

open access: yesAdvances in Nonlinear Analysis, 2015
We deal with a class of inhomogeneous elliptic problems involving the biharmonic operator Δ2u + V(|x|)|u|q-2u = Q(|x|)f(u), u ∈ D02,2(ℝN), where Δ2 is the biharmonic operator and V, Q are singular continuous functions.
Demarque Reginaldo, Miyagaki Olimpio H.
doaj   +1 more source

Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

open access: yesNonautonomous Dynamical Systems
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode   +2 more
doaj   +1 more source

Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space

open access: yesAdvances in Difference Equations, 2011
This article deals primarily with the existence and uniqueness of square-mean almost automorphic mild solutions for a class of stochastic differential equations in a real separable Hilbert space.
N'Guérékata Gaston   +2 more
doaj  

Citrullinated α-enolase is an effective target for anti-cancer immunity. [PDF]

open access: yesOncoimmunology, 2018
Cook K   +8 more
europepmc   +1 more source

Effects of urban airborne particulate matter exposure on the human upper respiratory tract microbiome: a systematic review. [PDF]

open access: yesRespir Res
Arca-Lafuente S   +7 more
europepmc   +1 more source

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