Results 11 to 20 of about 18,096 (200)
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem
Boundary Value Problems, 2021 We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP).
Md Mansur Alam +2 more
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Strong q-variation inequalities for analytic semigroups [PDF]
, 2010 Let T : Lp --> Lp be a positive contraction, with p strictly between 1 and infinity. Assume that T is analytic, that is, there exists a constant K such that \norm{T^n-T^{n-1}} < K/n for any positive integer n.
Christian, Le Merdy, Quanhua, Xu
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Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]
, 2006 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
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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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On continuity of solutions for parabolic control systems and input-to-state stability [PDF]
, 2018 We study minimal conditions under which mild solutions of linear evolutionary control systems are continuous for arbitrary bounded input functions.
Jacob, Birgit +2 more
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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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The structure of an isometric tuple [PDF]
, 2011 An $n$-tuple of operators $(V_1,...,V_n)$ acting on a Hilbert space $H$ is said to be isometric if the operator $[V_1\...\ V_n]:H^n\to H$ is an isometry. We prove a decomposition for an isometric tuple of operators that generalizes the classical Lebesgue-
Kennedy, Matthew
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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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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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