Results 41 to 50 of about 366 (188)
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
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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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An analyticity criterion for regularized semigroups [PDF]
Proceedings of the American Mathematical Society, 2002 The authors characterize analytic regularized semigroups of bounded linear operators in terms of the Laplace transform of its generator.
Zheng, Quan, Zhao, Yongsheng
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
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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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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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Criteria for analyticity of subordinate semigroups [PDF]
Semigroup Forum, 2008 Let $ψ$ be a Bernstein function. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for $ψ$ to have a property that $ψ(A)$ generates a quasibounded holomorphic semigroup for every generator $A$ of a bounded $C_0$-semigroup in a Banach space, in terms of some convolution semigroup of measures associated with $ψ$.
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Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +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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Analytic families of semigroups
Semigroup Forum, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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