51 research outputs found
New criteria for the existence of periodic and almost periodic solutions for some evolution equations in Banach spaces
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
In this work, we prove a result on the local existence of mild solution in the -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
Solvability of some partial functional integrodifferential equations with finite delay and optimal controls in Banach spaces
Pseudo almost automorphic solutions of class r for some partial functional differential equations
Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Existence, Global Continuation and Regularity in the α -Norm for Some Partial Functional Integrodifferential Equations with Infinite Delay
New Monch–Krasnosel’skii type fixed point theorems applied to solve neutral partial integrodifferential equations without compactness
Optimal regularity and stability analysis in the Norm for a class of partial functional differential equations with infinite delay
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