Results 11 to 20 of about 366 (188)
Quasianalyticity and Semigroups [PDF]
Bulletin of the American Mathematical Society, 1972 This chapter contains a development for linear semigroups which is of interest in the theory of probability and other areas.
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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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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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An analytic Novikov conjecture for semigroups [PDF]
Rocky Mountain Journal of Mathematics, 2018 In this article we formulate a version of the analytic Novikov conjecture for semigroups rather than groups, and show that the descent argument from coarse geometry generalises effectively to this new situation.
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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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Abstract and Applied Analysis, 2012 This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup. We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in ...
He Yang
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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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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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