Recently, Ye and Gao [17] studied a Henry-Gronwall type retarded integral inequalities: left { textstylebegin{array}{l} u(t)leqslant a(t)+int_{t_{0}}^{t} t-s)^{beta -1} t-su(s-r), mathrm{d}s,quad tin[t_{0},T), u(t)leqslantphi(t), quad tin[t_{0}-r,t_{0}), end{array}displaystyle right. and used it to obtain boundedness of a class of fractional differential equations.
Let 1 < p < ∞ and n ≥ 2. The authors establish the L p (ℝn+1) boundedness for a class of parabolic singular integral operators with rough kernels.
We apply this conclusion to obtain the weighted boundedness for a class of the parametric Marcinkiewicz integral operators and related to the Littlewood-Paley -function and the area integral, respectively.
In this paper, we introduce the generalized central Morrey spaces B ˙ p, φ ( R n ) and get the boundedness of a large class of rough operators on them.
In this paper, we will study the boundedness of a large class of sublinear operators with rough kernel (T_{Omega}) on the generalized local Morrey spaces (LM_{p,varphi}^{{x_{0}}}), for (s' le p), (p neq1) or (p < s), where (Omegain L_{s}(S^{n-1})) with (s>1) are homogeneous of degree zero.
It is proved that all the signals in the closed-loop system are semiglobal uniformly ultimately boundedness under a class of switching signals with average dwell time, and the tracking errors converge to a small neighborhood of the origin.
This paper studies the finite-time stochastic contractive boundedness problem for a class of Markovian jump linear systems subject to input constraints.
The purpose of this paper is to investigate Lp boundedness properties of a certain class of radial Fourier integral operators on the space X.
This paper is focused on the study of boundedness and convergence of sequences of distances and iterated points and the characterization of fixed points of a class of composite self-maps in metric spaces.
The boundedness of two classes of Riemann-Stieltjes operators from general function space, which includes Hardy space, Bergman space, space, BMOA space, and Bloch space, to -Bloch space in the unit ball is discussed in this paper.
Caraballo et al. [2] investigated the exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations.
