Results 241 to 250 of about 27,208 (276)

Liouville Equation and the Resolvent Formalism

Journal of Mathematical Physics, 1960
With the use of the Prigogine and Balescu representation for the description of relaxation starting from the Liouville equation, we apply Van Hove's resolvent formalism to obtain higher-order contributions for classical weakly coupled homogeneous gases. These results confirm Van Hove's observation that, for appropriate representations, persistent (long
Teitler, S., Wallis, R. F.
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Resolvent approach for the nonstationary Schrodinger equation

Inverse Problems, 1992
Summary: The spectral transform for the non-stationary Schrödinger equation is considered. The resolvent operator of the Schrödinger equation is introduced and the Fourier transform of its kernel (called the resolvent function) is studied. It is shown that it can be used to construct a generalized version of the theory of the spectral transform which ...
BOITI, Marco, PEMPINELLI, Flora, A. K. POGREBKOV, M. C. POLIVANOV   +3 more
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Explicit Galois resolvents for sextic equations

International Journal of Quantum Chemistry, 1987
AbstractSeveral techniques for calculating the Galois resolvents of polynomial equations are discussed and implemented. In particular, the method of power sums, in conjunction with the symbolic algebra program muMATH, is used to derive a complete set of explicit algebraic resolvents for the general sextic equation.
A. C. Hurley, A. K. Head
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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 the color‐image irradiance equation

Color Research & Application, 1996
The case of orthogonal projection of a smooth and piece-wise uniformly colored lambertian surface with complex color illumination is considered. The algorithm presented here is based on two equations: n·n = 1 (the norm constancy condition) and Φn·n = 0 (the integrability condition, where Φ is a linear differential operator).
A. P. Petrov, G. N. Antonova
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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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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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The Method of Resolvent Equations

1987
Generally speaking, the perturbation theory which forms the heart of theoretical methods for treating off-resonant phenomena cannot be applied directly in the case of resonant multiphoton processes. Modifications are called for to correctly and conveniently approach the problem of resonance breakdown of ordinary perturbation theory. This is most easily
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Fredholm resolvents, Wiener-Hopf equations, and Riccati differential equations

IEEE Transactions on Information Theory, 1969
We shall show that the solution of Fredholm equations with symmetric kernels of a certain type can be reduced to the solution of a related Wiener-Hopf integral equation. A least-squares filtering problem is associated with this equation. When the kernel has a separable form, this related problem suggests that the solution can be obtained via a matrix ...
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