Displaying similar documents to “On an infinite-dimensional differential equation in vector distributions with discontinuous regular functions on the right hand side.”

The Henstock-Kurzweil approach to Young integrals with integrators in BV φ

Boonpogkrong Varayu, Tuan-Seng Chew (2006)

Mathematica Bohemica

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In 1938, L. C. Young proved that the Moore-Pollard-Stieltjes integral a b f d g exists if f B V φ [ a , b ] , g B V ψ [ a , b ] and n = 1 φ - 1 ( 1 / n ) ψ - 1 ( 1 / n ) < . In this note we use the Henstock-Kurzweil approach to handle the above integral defined by Young.

Stabilization of a layered piezoelectric 3-D body by boundary dissipation

Boris Kapitonov, Bernadette Miara, Gustavo Perla Menzala (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary...