Results 31 to 40 of about 3,180,013 (158)
On mild solutions to fractional differential equations with nonlocal conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We prove new existence results of mild solutions to fractional differential equations with nonlocal conditions in Banach spaces. The nonlocal item is only assumed to be continuous. This generalizes some recent results in this area.
Lizhen Chen, Zhenbin Fan
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Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
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On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
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Ural Mathematical Journal, 2017 Let \(A\) be the infinitesimal generator of a strongly continuous contraction semigroup in a Hilbert space \(H\). We give an upper estimate for the best approximation of the operator \(A\) by bounded linear operators with a prescribed norm in the ...
Elena E. Berdysheva, Maria A. Filatova
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
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A Simple Repairable System with Warning Device
Journal of Function Spaces, 2015 This paper considers a simple repairable system with a warning device which can signal an alarm when the system is not in good condition and a repairman who can have delayed-multiple vacations.
Xiao Zhang, Lina Guo
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
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Electronic Journal of Differential Equations, 2019 Let T be a strongly continuous semigroup acting on a complex Banach space X and let A be its infinitesimal generator. It is well-known [29,33] that the uniform spectral bound $s_0(A)$ of the semigroup T is negative provided that all solutions to the ...
Constantin Buse +3 more
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Stability Analysis of a Repairable System with Warning Device and Repairman Vacation
Journal of Function Spaces and Applications, 2013 This paper considers a simple repairable system with a warning device and a repairman who can have delayed-multiple vacations. By Markov renewal process theory and the probability analysis method, the system is first transformed into a group of ...
Yangli Ren, Lina Guo, Lingling Zhang
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
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