Results 31 to 40 of about 2,840,866 (277)
Gevrey semigroup generated by −(Λ + b ⋅ ∇) in Lp(Rn)
, 2020 For every p belongs to [ 1 , ∞ ) and n dimensional vector b, it is shown that − Λ α − b ⋅ ∇ generates an analytic semigroup in L p ( R n ) if 1 ≤ α ≤ 2 , and a Gevrey semigroup of order δ, for any δ > 1 α , in L p ( R n ) if 0 α 1 .
Ming Wang, Qingxia Ma, Jinqiao Duan
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Anti-periodic problems for semilinear partial neutral evolution equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We study the anti-periodic problem for the semilinear partial neutral evolution equation in the form \begin{equation*} \begin{array}{l}\displaystyle\frac{d}{dt}[u(t)+h(t,u(t))]+Au(t)=f(t,u(t)),\quad t\in \mathbb{R} \end{array} \end{equation*} in a Banach
Rong-Nian Wang, De-Han Chen
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Analyticity and quasi-analyticity for one-parameter semigroups [PDF]
Proceedings of the American Mathematical Society, 1970 Suppose that T is a strongly continuous (even at 0) one-parameter semigroup of bounded linear transformations on a real Banach space S and T has generator A. THEOREM A. If lim supx.o [ T(x) -I 0. Suppose { q } is a sequence of positive numbers convergent to 0 and each of N(q), q= 1, 2, * * is an increasing sequence of positive integers.
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The formal Laplace-Borel transform of Fliess operators and the composition product
International Journal of Mathematics and Mathematical Sciences, 2006 The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
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A generalized Gronwall inequality and its application to fractional neutral evolution inclusions
Journal of Inequalities and Applications, 2016 This paper deals with the fractional neutral evolution differential inclusions. The existence results are established by using the fractional power of operators and a fixed point theorem for multivalued map.
Zufeng Zhang, Zhangzhi Wei
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Existence and regularity of periodic solutions for neutral evolution equations with delays
Advances in Difference Equations, 2019 The aim of this paper is to study the periodic problem for neutral evolution equation (u(t)−G(t,u(t−ξ)))′+Au(t)=F(t,u(t),u(t−τ)),t∈R, $$ \bigl(u(t)-G\bigl(t,u(t-\xi )\bigr)\bigr)'+Au(t)=F \bigl(t,u(t),u(t-\tau )\bigr), \quad t\in \mathbb{R}, $$ in a ...
Qiang Li, Huanhuan Zhang
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Isometric dilations and $H^\infty$ calculus for bounded analytic semigroups and Ritt operators [PDF]
, 2015 We show that any bounded analytic semigroup on $L^p$ (with ...
Cédric Arhancet, S. Fackler, C. Merdy
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 The purpose of this work is to investigate a novel class of noninstantaneous impulsive stochastic integrodifferential equations (SIDEs) driven by Brownian motion and Rosenblatt process. We construct a new set of adequate assumptions for the existence and
Ravikumar Kasinathan +3 more
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Semigroups of Composition Operators in Analytic Morrey Spaces [PDF]
Integral Equations and Operator Theory, 2020 Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition operators on these spaces and focus on the question of strong continuity. It is shown that these semigroups behave like on BMOA.
Petros Galanopoulos +2 more
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Nonautonomous Dynamical Systems, 2022 This paper focuses on a new class of non-instantaneous impulsive stochastic differential equations generated by mixed fractional Brownian motion with poisson jump in real separable Hilbert space.
Varshini S. +3 more
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