Existence of solutions to a second order partial differential equation with nonlocal conditions.
Existence results for a class of semi-linear evolution equations.
A Massera type criterion for a partial neutral functional differential equation.
Existence results for a second-order abstract Cauchy problem with nonlocal conditions.
Existence of solutions for a second order abstract functional differential equation with state-dependent delay.
Asymptotically almost periodic and almost periodic solutions for a class of evolution equations.
Asymptotically almost periodic and almost periodic solutions for a class of partial integro-differential equations.
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.
Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions
By using the theory of strongly continuous cosine families and the properties of completely continuous maps, we study the existence of mild, strong, classical and asymptotically almost periodic solutions for a functional second order abstract Cauchy problem with nonlocal conditions.
Existence of solutions for abstract neutral integro-differential equations with unbounded delay
In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay. A concrete application to partial neutral integro-differential equations is considered.
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