Results 21 to 30 of about 1,584 (227)
, 2023 This paper discusses the S-asymptotically periodic problem of fractional evolution equation with delay. By introducing a new noncompact measure theory involving infinite interval, we study the existence of S-asymptotically periodic mild solutions under ...
Li, Qiang, Wu, Xu, Liu, Lishan
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Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity
International Journal of Differential Equations, 2011 We obtain a global existence result for the higher-dimensional thermoviscoelastic equations. Using semigroup approach, we will establish the global existence of homogeneous, nonhomogeneous, linear, semilinear, and nonlinear, thermoviscoelastic systems.
Zhiyong Ma
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Condensed Matter Physics, 2006 We study the regularity problems for unbounded spin systems of anharmonic oscillators, that approximate multi-dimensional Euclidean field theories. The main attention is paid to the effect of anharmonism on the C∞-regularity properties of evolutional ...
Alexander Val. Antoniouk +1 more
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Preservation of Mean-Square Lyapunov Exponents for Nonautonomous Stochastic Evolution Equations
AxiomsWe study the long-time behavior of nonlinear stochastic evolution equations in a separable Hilbert space driven by a Q-Wiener process. The linear part of the equation is generated by a strongly continuous semigroup with an exponential dichotomy, which ...
Dmytro Shtefan +2 more
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Boundary controllability of impulsive nonlinear fractional delay integro-differential system
Cogent Engineering, 2016 By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
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A nonlinear semigroup for a functional differential equation
, 1978 A representation theorem is obtained for solutions of the nonlinear functional differential equation ( 1 )
Dennis W. Brewer
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Mathematics, 2023 In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation.
Amina Benramdane +4 more
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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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Abstract and Applied Analysis, 1996 This paper is concerned with the existence and stability of solutions of a class of semilinear nonautonomous evolution equations. A procedure is discussed which associates to each nonautonomous equation the so-called evolution semigroup of (possibly ...
Bernd Aulbach, Nguyen Van Minh
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