Entire solutions of the abstract Cauchy problem.
Equicontinuous families of operators generating mean periodic maps
The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group or an equicontinuous cosine function forces the spectral structure of the infinitesimal generator of or . In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.
Existence and uniqueness of mild solutions of second order Volterra integrodifferential equations with nonlocal conditions.
Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces.
Existence of solutions for a second order abstract functional differential equation with state-dependent delay.
Existence of solutions for an abstract second-order differential equation with nonlocal conditions.
Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions
We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
Existence of solutions to a second order partial differential equation with nonlocal conditions.
Existence of the fundamental solution of a second order evolution equation
We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence of bounded operators.
Existence results for a second-order abstract Cauchy problem with nonlocal conditions.