Dichotomy and μ‐pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces
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DOI: 10.1002/mana.201800134
Abstract: We prove the existence and uniqueness of μ‐pseudo almost automorphic solution for a delayed non‐autonomous partial functional differential equation in the exponential dichotomic case, where the nonlinear operator F satisfies the φ‐Lipschitz condition and φ… read more here.
Keywords: functional differential; dichotomy pseudo; admissible spaces; partial functional ... See more keywords
Periodic Solutions for Some Nondensely Nonautonomous Partial Functional Differential Equations in Fading Memory Spaces
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DOI: 10.1007/s12591-016-0331-9
Abstract: The aim of this work is to study the existence of a periodic solution for some nondensely nonautonomous partial functional differential equations with infinite delay in Banach spaces. We assume that the linear part is… read more here.
Keywords: partial functional; nondensely nonautonomous; solution; differential equations ... See more keywords
Multiple solutions of nonlinear partial functional differential equations and systems
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DOI: 10.14232/ejqtde.2019.1.21
Abstract: We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations. We shall prove theorems on the number of… read more here.
Keywords: multiple solutions; functional differential; partial functional; nonlinear partial ... See more keywords
Solvability of nondensely defined partial functional integrodifferential equations using the integrated resolvent operators
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DOI: 10.14232/ejqtde.2019.1.88
Abstract: In this work, we study the existence and regularity of solutions for a class of nondensely defined partial functional integrodifferential equations. We suppose that the undelayed part admits an integrated resolvent operator in the sense… read more here.
Keywords: partial functional; integrated resolvent; integrodifferential equations; nondensely defined ... See more keywords
Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior
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DOI: 10.1515/rose-2019-2009
Abstract: Abstract This paper deals with the existence and uniqueness of mild solutions to stochastic partial functional integro-differential equations driven by a sub-fractional Brownian motion S Q H ( t ) {S_{Q}^{H}(t)} , with Hurst… read more here.
Keywords: partial functional; existence; driven sub; stochastic partial ... See more keywords