51 research outputs found

    New criteria for the existence of periodic and almost periodic solutions for some evolution equations in Banach spaces

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    In this work we give a new criteria for the existence of periodic and almost periodic solutions for some differential equation in a Banach space. The linear part is nondensely defined and satisfies the Hille-Yosida condition. We prove the existence of periodic and almost periodic solutions with condition that is more general than the known exponential dichotomy. We apply the new criteria for the existence of periodic and almost periodic solutions for some partial functional differential equation whose linear part is nondensely defined

    Existence of solutions in the alpha-norm for partial functional differential equations with infinite delay

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    In this work, we prove a result on the local existence of mild solution in the α\alpha-norm for some partial functional differential equations with infinite delay. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous. We use the compactness method, to show the main result of this work. Some application is provided
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