A note on discrete maximal regularity for functional difference equations with infinite delay.
Semilinear evolution equations of second order via maximal regularity.
Almost automorphic and pseudo-almost automorphic solutions to semilinear evolution equations with nondense domain.
Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations.
Approximate controllability of abstract discrete-time systems.
Weighted -asymptotically -periodic solutions of a class of fractional differential equations.
Maximal regularity of the discrete harmonic oscillator equation.
Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three
2000 Mathematics Subject Classification: 35L15, 35B40, 47F05. We prove dispersive estimates for solutions to the wave equation with a real-valued potential V.
Weighted Dispersive Estimates for Solutions of the Schrödinger Equation
2000 Mathematics Subject Classification: 35L15, 35B40, 47F05. Introduction and statement of results. In the present paper we will be interested in studying the decay properties of the Schrödinger group. The authors have been supported by the agreement Brazil-France in Mathematics – Proc. 69.0014/01-5. The first two authors have also been partially supported by the CNPq-Brazil.
On type of periodicity and ergodicity to a class of fractional order differential equations.
Existence results for a fractional equation with state-dependent delay.
Existence results for fractional integro-differential inclusions with state-dependent delay
In this paper we are concerned with a class of abstract fractional integro-differential inclusions with infinite state-dependent delay. Our approach is based on the existence of a resolvent operator for the homogeneous equation.We establish the existence of mild solutions using both contractive maps and condensing maps. Finally, an application to the theory of heat conduction in materials with memory is given.
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