Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type
نویسندگان
چکیده
The present paper deals with well-posedness and asymptotic stability for weakly coupled wave equations a more general internal control of diffusive type. Owing to the semigroup theory linear operator, system is proved. Furthermore, we show decay rate result. method based on frequency domain approach combined multiplier technique.
منابع مشابه
Indirect Locally Internal Observability and Controllability of Weakly Coupled Wave Equations
In this paper, we study the exact controllability of a system of weakly coupled wave equations with an internal locally control acted on only one equation. Using a piecewise multiplier method, we show that, for a sufficiently large time T , the observation of the velocity of the first component of the solution on a neighborhood of a part of the boundary allows us to get back a weakened energy o...
متن کاملprevalence of atopic dermatitis in children with type 1 diabetes mellitus in southeastern of iran (kerman province): a case-control study
چکیده ندارد.
15 صفحه اولCOLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS
In this paper it is shown that the use of uniform meshes leads to optimal convergence rates provided that the analytical solutions of a particular class of Fredholm-Volterra integral equations (FVIEs) are smooth.
متن کاملSolution and stability analysis of coupled nonlinear Schrodinger equations
We consider a new type of integrable coupled nonlinear Schrodinger (CNLS)equations proposed by our self [submitted to Phys. Plasmas (2011)]. The explicitform of soliton solutions are derived using the Hirota's bilinear method.We show that the parameters in the CNLS equations only determine the regionsfor the existence of bright and dark soliton solutions. Finally, throughthe linear stability an...
متن کاملApplication of Tau Approach for Solving Integro-Differential Equations with a Weakly Singular Kernel
In this work, the convection-diffusion integro-differential equation with a weakly singular kernel is discussed. The Legendre spectral tau method is introduced for finding the unknown function. The proposed method is based on expanding the approximate solution as the elements of a shifted Legendre polynomials. We reduce the problem to a set of algebraic equations by using operational matrices....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12010048