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FINITE AND LOCAL LAPLACE TRANSFORMS IN BANACH SPACES

open access: yesProceedings of the Edinburgh Mathematical Society, 2003
V. Keyantuo, Claus Müller, P. Vieten
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Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain

Journal of Partial Differential Equations, 2018
In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic(hyperbolic) Type Chemotaxis System.
Xu Zijun
semanticscholar   +1 more source

On the Functional Equation $\boldsymbol{U}_{\boldsymbol{t}}\boldsymbol{+} \boldsymbol{U}_{\boldsymbol{-t}} = \boldsymbol{V}_{\boldsymbol{t}} \boldsymbol{+} \boldsymbol{V}_{\boldsymbol{-t}}$ in a Banach Space

Sarajevo Journal of Mathematics
In this paper we consider commuting one-parameter groups, $\{U_{t} : t \in R\}$ and $\{V_{t} : t\in R\}$ of unitary operators and the functional equation $U_{t} + U_{-t} = V_{t} + V_{-t}$ on a reflexive strictly convex Banach space with Gateaux ...
Karmelita Pjanić
semanticscholar   +1 more source

Existence theorems for nonconvex variational inequalities problems

, 2013
In this paper, we prove the existence theorem for a mapping defined by T = T1 + T2 when T1 is a μ1-Lipschitz continuous and γ-strongly monotone mapping, T2 is a μ2-Lipschitz continuous mapping, we have a mapping T is Lipschitz continuous but not strongly
I. Inchan
semanticscholar   +1 more source

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