A new parameter estimate in singular perturbations
نویسندگان
چکیده
منابع مشابه
Perturbations in a non-singular bouncing Universe
We complement the low-energy gravi-dilaton effective action of string theory with a non-local, general-covariant dilaton potential, and obtain homogeneous solutions describing a non-singular (bouncing-curvature) cosmology. We then compute, both analytically and numerically, the spectrum of amplified scalar and tensor perturbations, and draw some general lessons on how to extract observable cons...
متن کاملSingular Perturbations in a Non-linear Viscoelasticity
A non-linear equation in viscoelasticity of the form ρuρtt(t, x) = φ(u ρ x(t, x))x + ∫ t −∞ F (t− s)φ(ux(s, x))xds+ ρg(t, x) + f(x), t ≥ 0, x ∈ [0, 1], (0.1) u(t, 0) = u(t, 1) = 0, t ≥ 0, (0.2) u(s, x) = v(s, x), s ≤ 0, x ∈ [0, 1], (0.3) (where φ is non-linear) is studied when the density ρ of the material goes to zero. It will be shown that when ρ ↓ 0, solutions u of the dynamical system (0.1)...
متن کاملSingular Perturbations in Option Pricing
After the celebrated Black-Scholes formula for pricing call options under constant volatility, the need for more general nonconstant volatility models in financial mathematics has been the motivation of numerous works during the Eighties and Nineties. In particular, a lot of attention has been paid to stochastic volatility models where the volatility is randomly fluctuating driven by an additio...
متن کاملSingular Perturbations and a Theorem of Kisyriski*
where t > 0, E > 0 is a small parameter, and A is a nonnegative self-adjoint (not necessarily bounded) operator in H, converge, as E + 0, to the solution of (1.2). While we borrow Kisynski’s idea of using the functional calculus of the operator A in order to construct a solution of (1.3), our approach is different from Kisynski’s in that we do not employ the techniques of the theory of semigrou...
متن کاملDynamic Metastability and Singular Perturbations
Certain singularly perturbed time-dependent partial diierential equations exhibit a phenomenon known as dynamic metastability whereby the time-dependent solution approaches a steady-state solution only over an an asymptotically exponentially long time interval. This metastable behavior is directly related to the occurrence of an asymptotically exponentially small principal eigenvalue for the li...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 1985
ISSN: 0167-6911
DOI: 10.1016/0167-6911(85)90040-4