Results 261 to 270 of about 1,287,488 (289)

Complete Monotonicity and Resolvents of Volterra Integrodifferential Equations

SIAM Journal on Mathematical Analysis, 1982
We prove that if $u'(t) + \int_0^t {a(t - y)} u(y)dy = 0\,(t \geq 0),u(0) = 1$, where a is completely monotonic and locally integrable, but not constant, then $ - u$ is the sum of a completely monotonic function and a function which decays exponentially as $t \to \infty $.
Hannsgen, Kenneth B., Wheeler, Robert L.
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NORMAL EQUATIONS RESOLVED BY APPROXIMATION

Empire Survey Review, 1942
AbstractWe are indebted to Professor R. V. Southwell for the approximate method of computation known as the systematic relaxation of constraints. In an article to the Empire Survey Review, 1938, Mr A. N. Black showed how Southwell's ideas could be applied to the adjustment of the co-ordinates of a point.
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The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $

SIAM Journal on Mathematical Analysis, 1981
The resolvent problem for the Stokes equations on halfspace in $R^3 $ is considered. Letting $H = \{ {(x_1 ,x_2 ,x_3 ) \in R^3 | {x_3 < 0} } \}$ and given ${\bf f} \in L_p (H)$, we find ${\bf u}$, $\nabla _P $ such that \[\begin{gathered} \left.
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The Resolvent Kernel of an Integrodifferential Equation in Hilbert Space

SIAM Journal on Mathematical Analysis, 1976
Let ${\bf y}(t,{\bf x},{\bf f})$ denote the solution of ${\bf y}'(t) + \int _0^t a(t - s){\bf Ly}(s)ds = {\bf f}(t)$, ${\bf y}(0) = {\bf x}$, $t \geqq 0$, where ${\bf L}$ is a self adjoint densely defined operator on a Hilbert space ${\bf H}$, with ${\bf L} \geqq \mu > 0$. Let ${\bf U}(t){\bf x} = {\bf y}(t,{\bf x},{\bf 0})$.
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Generalized Mixed Variational Inequalities and Resolvent Equations

Positivity, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Resolvent Equations and Unsymmetric Dirichlet Spaces

Canadian Journal of Mathematics, 1981
Let (X, , μ) and (X, , μ′) be measure spaces with the measures μ and μ′ totally finite. Suppose {Uλ: λ > 0} is a family of positive (i.e., ϕ ≧ 0 ⇒ Uλϕ ≧ 0) continuous linear operators from L2(X, dμ′) to L2(X,dμ) with the following additional properties: if ϕ ≧ 0 then Uλϕ is non-decreasing as λ increases, while λ−1Uλϕ is nonincreasing.A family {Mλ:λ &
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Resolving Branching Equation

2020
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Time Discretization of Fractional Subdiffusion Equations via Fractional Resolvent Operators

Computers and Mathematics With Applications, 2020
Rodrigo Eduardo Ponce
exaly  

Generalized Set-Valued Variational Inclusions and Resolvent Equations

Journal of Mathematical Analysis and Applications, 1998
Muhammed Aslam Noor
exaly  

A New Resolvent Equation for the SS-Functional Calculus

Journal of Geometric Analysis, 2015
Jonathan Gantner, Fabrizio Colombo, Daniel Alpay   +2 more
exaly