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In this paper, we are devoted to consider the periodic problem for the neutral evolution equation with delay in Banach space. By using operator semigroups theory and fixed point theorem,… Click to show full abstract
In this paper, we are devoted to consider the periodic problem for the neutral evolution equation with delay in Banach space. By using operator semigroups theory and fixed point theorem, we establish some new existence theorems of periodic mild solutions for the equation. In addition, with the aid of a new integral inequality with delay, we present essential conditions on the nonlinear function to guarantee that the equation has an asymptotically stable periodic mild solution.
Keywords:
neutral evolution;
stability periodic;
evolution;
existence asymptotic;
evolution equations;
asymptotic stability
Journal Title: Evolution Equations and Control Theory
Year Published: 2020
Link to full text (if available)
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Journal Title: Evolution Equations and Control Theory
Year Published: 2020
Link to full text (if available)
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recommendations!