Hölder Continuous Solutions of Second Order Degenerate Differential Equations with Finite Delay
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DOI: 10.1007/s00025-019-0982-2
Abstract: In this paper, we characterize the $$C^\alpha $$Cα-well-posedness of the second order degenerate differential equation with finite delay $$(Mu)''(t) = Au(t) + Fu_t + f(t)$$(Mu)′′(t)=Au(t)+Fut+f(t), ($$t\in {\mathbb R}$$t∈R) by using known operator-valued Fourier multiplier results… read more here.
Keywords: order degenerate; finite delay; degenerate differential; second order ... See more keywords
Well-Posedness of Third Order Degenerate Differential Equations with Finite Delay in Banach Spaces
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DOI: 10.1007/s00025-021-01376-8
Abstract: In this paper, we give necessary and sufficient conditions for the $$L^p$$ -well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the third order degenerate differential equation with finite delay: $$(Mu)'''(t) + (Nu)''(t)= Au(t) + Bu'(t) + Gu''_t +… read more here.
Keywords: order degenerate; degenerate differential; finite delay; well posedness ... See more keywords
Solutions of third order degenerate equations with infinite delay in Banach spaces
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DOI: 10.1007/s43037-020-00058-x
Abstract: We study the well-posedness of the third order degenerate differential equations with infinite delay$$(P_3): (Mu)'''(t) + (Lu)''(t) + (Bu)'(t)= Au(t) + \int _{-\infty }^t a(t-s)Au(s)ds + f(t){\text{ on }}[0, 2\pi ]$$in Lebesgue–Bochner spaces $$L^p(\mathbb{T};\; X)$$… read more here.
Keywords: equations infinite; order degenerate; infinite delay; third order ... See more keywords