On an integral inequality with a kernel singular in time and space.
The role of an integral inequality in the study of certain differential equations.
An impulsive nonlinear singular version of the Gronwall-Bihari inequality.
Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density.
A memory type boundary stabilization of a mildly damped wave equation.
Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type.
Absence of local and global solutions to an elliptic system with time-fractional dynamical boundary conditions.
Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping
A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zaraï [25].
An improved exponential decay result for some semilinear integrodifferential equations
We prove exponential decay for the solution of an abstract integrodifferential equation. This equation involves coefficients of polynomial type, weakly singular kernels as well as different powers of the unknown in some norms.
Global existence and stability of some semilinear problems
We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
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