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A universal solution to one-dimensional oscillatory integrals

Science in China Series F: Information Sciences, 2008
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Jianbing Li 0002   +2 more
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Oscillatory solutions of the rate equations

Physics Letters A, 1968
Abstract It is shown that the rate equations for a system relaxing to black body radiation have no oscillatory solutions. A more convenient form of the equations for numerical calculation is given.
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Oscillatory convection in a dilute3He-superfluid4He solution

Journal of Low Temperature Physics, 1985
Convective instabilities in a rectangular, unity-aspect-ratio Rayleigh-Benard cell with a solution of 1.46%3He in superfluid4He have been studied in the temperature range 0.70–1.05 K, with a corresponding Prandtl number range of 0 ...
Y. Maeno   +3 more
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Oscillatory solutions of the Falkner-Skan equation

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985
Abstract The Falkner-Skan equation for similarity solutions of the Prandtl boundary-layer equations for incompressible flow is analysed for both positive and negative values of the parameter β. For β < — 1 branches of solutions with any number of intervals of overshoot are found analytically, and confirm recent numerical ...
Hastings, S. P., Troy, W.
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Oscillatory behavior of solutions of functional equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
This paper is about linear iterative functional equations \[ x[g^s(t)]=\sum_{k\in\{0,1,\dots ,s-1,s+1,\dots ,m+1\}}Q_k(t)x[g^k(t)]\quad (t\in I), \] where \(Q_{s-1},Q_{m+1}: I\to ]0,\infty[\); \(Q_k: I\to [0,\infty[\) for \(k\neq s\). \(I\) is a subset of \([0,\infty[,\) unbounded from above.
Nowakowska, W., Werbowski, J.
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Oscillatory solutions of the BCS gap equation

Solid State Communications, 1989
Abstract When the Frohlich interaction is introduced in the BCS gap equation instead of Cooper's simplified form, and the electron-phonon coupling constant λ is negative, oscillatory solutions are obtained for the gap function Δ(e). We argue that these oscillatory solutions may be correct mathematically for a phonon or exciton spectrum which ...
M. Weger, R. Englman, B. Halperin
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On the oscillatory solutions in hyperbolic conservation laws

Nonlinear Analysis: Real World Applications, 2000
The authors study Riemann problems with shock initial data for two examples of \(2\times 2\) conservation laws in one-space dimension: the shallow water equations and a three-phase Buckley-Leverett flow. For shock initial data that do not possess a viscous profile, they consider a parabolic regularization of the conservation laws for which they ...
Peters, George R., Čanić, Sunčica
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Oscillatory Solutions of Boundary Value Problems

2016
We consider boundary value problems of the form $$\displaystyle\begin{array}{rcl} & x'' = f(t,x,x'), & {}\\ & x(a) = A,\quad x(b) = B,& {}\\ \end{array}$$ assuming that f is continuous together with f x and fx′. We study also equations in a quasi-linear form $$\displaystyle{x'' + p(t)x' + q(t)x = F(t,x,x').}$$ Introducing types of ...
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