Exact distributed controllability for the semilinear wave equation.
Identification of the rate function for large deviations of an irreducible Markov chain.
Oscillation criteria for second order linear differential equations with damping.
Partial exact controllability for the linear thermo-viscoelastic model.
Viscosity solutions of fully nonlinear functional parabolic PDE.
Some LIL type results on the partial sums and trimmed sums with multidimensional indices.
The penalty method for a new system of generalized variational inequalities.
Spectral gap and convex concentration inequalities for birth–death processes
In this paper, we consider a birth–death process with generator and reversible invariant probability. Given an increasing function and the associated Lipschitz norm ‖⋅‖, we find an explicit formula for . As a typical application, with spectral theory, we revisit one variational formula of M. F. Chen for the spectral gap of in (). Moreover, by Lyons–Zheng’s forward-backward martingale decomposition theorem, we get convex concentration inequalities for additive functionals of...
Strong convergence theorems of the Ishikawa process with errors for strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces.
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