Results 51 to 60 of about 18,096 (200)
Analytic families of semigroups
Semigroup Forum, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
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Analyticity of absorption semigroups
Semigroup Forum, 1995 If \(U\) is an analytic positive \(C_0\) semigroup on \(L^p(\Omega)\) generated by \(T\) and \(V\) is a measurable function on \(\Omega\), then by Voigt's perturbation theory we can construct \(U_V(t)\), the positive \(C_0\) semigroup generated (formally) by \(T-V\).
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Abstract Boundary Delay Systems and Application to Network Flow
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
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Electronic Journal of Differential Equations, 2014 As an extension of the fact that a sectorial operator can determine an analytic semigroup, we first show that a sectorial operator can determine a real analytic alpha-order fractional resolvent which is defined in terms of Mittag-Leffler function and ...
Ya-Ning Li, Hong-Rui Sun
doaj
Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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Dynamically Consistent Analysis of Realized Covariations in Term Structure Models
Mathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
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Existence and uniqueness of strong solutions for nonlocal evolution equations
Electronic Journal of Differential Equations, 2014 The aim of this article is to study the existence and uniqueness of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions. The discussions are based on analytic semigroup theory and fixed point theorems.
Pengyu Chen, Yongxiang Li
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Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra +2 more
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On the existence of mild solutions to some semilinear fractional integro-differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2010 This paper deals with the existence of a mild solution for some fractional semilinear differential equations with non local conditions. Using a more appropriate definition of a mild solution than the one given in [12], we prove the existence and ...
Toka Diagana +2 more
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